{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Numpy and Algebra"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solving linear systems"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[ 1,  2,  3],\n",
       "        [ 0,  3,  5],\n",
       "        [-3,  2,  9]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.mat(\"1, 2, 3; 0, 3, 5; -3, 2, 9\")\n",
    "A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 4, 9])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b = np.array([1, 4, 9])\n",
    "b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1.57142857,  0.85714286,  0.28571429])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.linalg.solve(A, b)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[2.22044605e-16, 0.00000000e+00, 0.00000000e+00]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.dot(A, x)-b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 方阵的特征值和特征向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "eigenvalues, eigenvectors = np.linalg.eig(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([8.91263421, 3.65794308, 0.42942271])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigenvalues"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 特征向量按列排列"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[-0.41242014,  0.66619287, -0.58072673],\n",
       "        [-0.58824377,  0.73940537,  0.72401805],\n",
       "        [-0.69561405,  0.09729733, -0.37222887]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigenvectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[3.55271368e-15],\n",
       "        [2.66453526e-15],\n",
       "        [8.88178420e-16]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.dot(A, eigenvectors[:, 0]) - eigenvalues[0]*eigenvectors[:, 0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 随机数和随机排列"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10e3607f0>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AIrQCIJIC2QrAia5bHdgvf30JiopLsFuZSesFSqRLSeoLvRTmOfO+kcUGRAonAXS7E7Bm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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ce62f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "cash = np.zeros(10000)\n",
    "cash[0] = 1000\n",
    "outcome = np.random.binomial(9, 0.5, size=len(cash))\n",
    "for i in range(1, len(cash)):\n",
    "    if outcome[i] < 5:\n",
    "        cash[i] = cash[i-1] - 1\n",
    "    elif outcome[i] < 10:\n",
    "        cash[i] = cash[i-1] + 1\n",
    "    else:\n",
    "        raise AssertionError(\"Unexpected outcome: \"+outcome)\n",
    "plt.plot(np.arange(len(cash)), cash)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numpy masked array\n",
    "### 掩码为True的项被屏蔽，掩码为False的项保留"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LnnnktY1k3hQ5el+FgmFxgk8UkXpHL6O/65EpDZAptDh6hk2uJMeR80opelzJ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V4mwf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\n3brmKgKMDWET2+N+VCl3/WI8l5UeEjeW7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ZZPUtEtoM7ppPdUGmmHjQCecCvEPYKs1w+Q\nts5G95wIx383jPLnk8RTbGhO4/OLexRiqQrooCaksbnckURXBVIVSAsk7QrhbAVLWGILSXQVAlcG\nGJvXSLGrk56Eiw92jcFdoxLLkLgbBb0VGqQkuG3MdrKtfqpeu4KiD/zoVhVpU1BDCZJeoxFFtyoo\nCd2YTEIauk2hZZIVX63E2Zkk6VRI2gXWiOSzv/xr4bD/V+OrteuKx6uks02y/9fn11jHvr9cFqV0\n886M58UV2+6SNd0ZfPndleKmnbfLVyf/QUxdt0x+FdumLkrRb1fL/th+Z8bz//K6J398v9w5/xkx\n7J3H5JErznWAXr71Z/K9mb8Spa8/KS+vOMQvx74mfrjrNvlfk14Ud+65WZrYNrt9wVDMNGmaM9Yv\nlSa2zUx+9N8flsGQg9PXL++zwfvqcea4eNO9sj+2Ty9ZJG7ddavcUj2I09cvF4PeWClnFlfz0qSX\n+sTbwKCXmmWQr46ZC1bLhFvh89cW/8vPwwzecY/Crj+ee93km9ZKE9tb3jeC95Qb1spwtsKB54zr\nmHTzWhm40mDImCJtYPjpHl71j6Juvzk+W1a9dgXHH1so5k5/Qkqb0rdSuGjO03LDWbYPwIVzn5Ff\nxfY/E0b7n8a3okbv6JLE0iCWakXooLkkGbsVlIQkWpDAErbS8m4h2fPbWDboY45ECnhhzwym5tZh\nUTRK3J0cb88m3Z1kd2Mh0ZANtcWO9t046e/70PMEsQqJ97CN+JQA4rAX69huLis8wp82Twebjkwq\n+OMe/qKNoSKrjWa/D7s9QfuhbGxFQUblNPFZ5yBynH5clji9cSd2R5xIi4dCexfbW0ooTe3kbw2j\nmZd3DM0jOJExALeqM6fwBL0JJxahk2oN05rwkdAVxngb8F/hpPpvZQRHRwlFbIwe2ED11nKkRVA6\np5aaj0toy/KQ6o7gssdJ/CWbNyZNRCQUMku6cDtjJCsSWFWNva0DKM3pwGuLsudEMfvaCrho+DE2\n7B/GQV8B44vqWfflCDLzepl12+esqx9CbH86rqBAWiRJp0C3QNqpKHX3jka5vh77xzaGXt/EkRUD\nKX7LUJVM2gVqXOJq1dDsgoRLEBygEE2zoSSMzVipgBo12EWaHZJJgdBhaHYr6bYQEc3KulNDsGRE\nSHS6sXcJesbGUZ1JtKiFI4E8XmmYxMCtUZRIglChG8+pXvwVKegWgachhlAkSFASEgTYemJYolZj\nY1gHKcAakdi7E98Yts3gPv2qNVJ4FQatqpQpx2HPHxaJaEGC448aX9j+ypRdHV6m5tZxz74b5Dsz\nXhND//qYvHDDYtncY7CHdlz8rChueUamv+/jyNma8oj7qmR8SgBHy1ewPeOsAbcqcaWHqchqo6Y7\ng3hS5ei/PSMG/2WFHFfQxIKtd8scp5/OmJvI2bJf9dkuXmNj1FBIzLH50TyCdY8atMF79t0gexNO\nBvnOlRASumL4vU42fi9+5WlZe/NKceVnP5FjflopVa/oa7baPGeNmLpumdSlYOf8Z0TRC6tk3R3G\ne4957yG5f8nDZ+v4LwkmnX3/kI19bQXcuutWue/IMJhhPL/uyxGMb1su91z2pBj+t0fl4e89btTE\nf1IpHWexDYYWz7GVC8WCrXfLxPWCDxuNlU/SoZyXoQOMvbNSxgco7Hz13Abs2J9UStUhsIaMJHnC\nrZVSKIKh2a3cvfdGaRVWo39CSE6tOkePLX39SalFLUytOM2ehrkM3GowdT757Fxz1uTvr5U7zwb5\niy56WmoOlc2f3C/mTVspLVErX7y8SMz6jlFmmn71Gvl1E5hvRUY/aFWlTKRoIAC7hlAlQpHoMRUR\ntOBuVFASkHEwRskTxyl0dvFWzWg0TeGOIZ/xhxPTmJJfx6GuXKQUxJMqhSk9nOzIRNcVYq0u0ATS\npuPNCxAOOcjJ6GWgt4fjHdmEwnYSARuWHgvDJ1dT15PGpLw6zoTSaA166OlxM7ywmZNtWdwy5HP2\n9BaSaQ+x5UwZFww8hVON88mZCnobUsgp7WBEegs7mwsJNHvJL+ngO/mH+dOpCaS7w0zNriGmW/i8\ntdjQGk/aqG7LoCSrC//vBxC+rpeUl734Cy3Y5rdjUzW6tuWSHB6i+FdQ8osTfLJ9NCI7ihawUlza\nRkN7GhcNOs7xnhya9uZh9QtuuH4D/318Ilm+IJnOIDZVozXsxaLoJDSVcMJKZFMWKXNaaD6aTdYe\n8DTGEbok6bSg2QVJh4K9J0nvTwNkLTjOid9PoOAjFd0iEJpE6AZrwQy05vNKEhJuA3+6BSJZAmsY\nkg6Ip0mGT64mlLQxMb2Ovd0DOb27EKHB7IsOMNFXw/FwLu+dGkGy2UXhh0msgYTB549q9Ax2klIT\nw9ITQ9pVpKqALlHiSXqGenF0ayRcinHuAQ01KhG6pD9T4psYRb9bLU1s1970gCh66VlpYtvUiDHH\niHcfkf2xffh7jwsz+wZYsPVuaWL7+FWPCFN+2Dx+6rplcqC3p69jtuj3q6Slx9LHLTczX1Ol8vKt\nP5Mn27I4ftUj4urtd8pMe4jfjH9F3LXnJvn8+FeF2cXZ/xyKfrta1v14iXji0OXyoRHviRnrl8p/\nhW2zw3bku4/IlJe9bHt7iZjw4YPSpmpsP7tBPXfGE/Kr2K67Y2nf+R7vyWHL3NVi6ENV8obrN/DI\niLNm3/0y+jkbF8mEpv6DlDL8Y5ZsyioDzFOukSd+PwHTfnHqdWtkf2zv/O/FwmS3TLlhrTSxbdr7\njVxcJQ+uXSjK1lRK8zP+V2Phvuvk/4TtPb9fJC4e/5j8V9j+aib/VRbQvxrfiow+6TQCBaox6SgW\nnYFZ3bitcU63ZxL02hEWneiUJJ0tA9nYU0FebjeqkKxrG0a+z09zxEdrewpp2+x0T0owIquZWLUP\nqUounHYIRUh2twwkoamoFo3mtlSynCECJ1MpG9tAjUindFATNjVJ4EQaoawWzvSkkukJ0a0bjjYp\n7gh10QwONuejqjrxuIrPEuFv1SP5XulBNtrK8djixHSVWQXVbKUUAQQ1O8mkwpnGDDy2GBPT68j3\n9OKxxjjYUMCs0lNUBzJomwxjM9ppUX0kZvfiEBJ/1E7ajBYC63M5fVeEcFceriI/0YgNEVeorc9i\nbHkdm2rKSbQ6ue2yjby4bxrbOsoAaN6XS7OAoVNqaOnxGZ93tYekT0MdGya+OweXX9D7vQDJjzzY\nghJbUEOJS3CAblNIbMug5Z2hlK9O0jTDRvqxJJpdIe41OmWVBH0lEiO7FygJ43nNASiQ8AA6OMp7\n+fJYIVgkbkucEw05eAf3EItb+GTPcBqHplDdnkEyoaLEBfEUA6KaQ0FzqtgCOkmHimpXieQ6sIR1\n1HCSaK4LV1uSuFdFtwpc7cmz56ajxL+5zdi+oUrqfni/KD3rzlR36z//chb/8RmZlxs7D9uXbblH\ntrbnAZz1gz1n13frrlvlnCmyr6UejIx/wda7ZWnlWlk2tgGrz8A2mLRDo7zhc8TOZttGRmuoWRou\nRoPeWClPXfuqALi08AgAZpC/a89Nsu7Hxt9M/9YzjRl9sgxXbLtLmtg+ff1yYZZnDi5YIVjAWQtE\nY3/ClOA9fZfCJxP+KJgAZa8/KevuWCqKXnpW1t26TJjlmBWHvisjFdP6gnzZqkp5eulp6D+jAAAg\nAElEQVTz/SaqyvMmof6f64ZPHxD9g7v5c/j9VVJ5Zyh1C/rdDyHY/qbxd7Our8al4d362mIx4r4q\neWiNMTkPebRKHlu7UAx5uEqeXmkEefO8i199Wnp9EWJxC7EOJ0OHNlDdPvw8bJvNWv2HtKus3/5w\nHxMnmuti1x8Xi2nXrJGTb1orHV1aH/VTjWhfPfyfjm/FZiyqRCQFwqozurSBfxvyJQM93VR/UoJr\nvYfMrVZSt9vxfOrG+vdUvPvsBD/M5cyZDI4eH4BV1Th8ZCBKuw01Bo6UGFv3D+HiC/ZRPKqJXW+P\nYsfbo4l/no78IgVdU5Ca4EhzDtOmH6H284GI025imoUjbbn4Krr4fPsQLi48Rmuvl5zsXiJJK62t\nKWyoKWd4bjO6LhhV0MSxQA4OW4IUS4Q8t5/OkIvdjcYSOxS20x1ycsifj92WZHx5LXlOPy0xH0mp\nEk7ayEwL4LVGsSg6jlaFvXsH0XVDCOeHPpT/yiTQ5KWpKZ1ARYLrhu9BvpgNn6Xi2eZizOhqSCjU\n9qQzubCWUaNreffMSJCCmh2FJGo9aG4dLS/G4TN52KxJUj1hlOIQtvQoelJBaILgoATxBjeBUmj5\nThypCBIeBc0uCOapWIIQ35tG/XwnahzctQEsYR1rSMcSkTjbEygahLMVggMMaqgaA2tQEixPEM3V\niJZHiQ6OEo9b8OYE8aSHOdyYx+XDDmKzaEwYcIbSwS20Bj2GxESDA99piPkEulVBjepodoHNr51d\nPSg42uOoYaPZSgqBJZigt0wlfkMXSZeCsyGAEtPQ7N8czIufXyOLn18jhdWYbMxyCBhlgf6Px91R\nKWt/cL/YcfGzwsT2+gurxOEjAzEpjHW3LRNFvz2ngLjr7VH8YeLLIv75+V6w7878D2Fi+9S1D4t1\nFxjlkOrFi0Rp5Vq5cN91cvOcNaL25gfEnI2LJMCGmnPyvKeufVhcse0uOfb95fKZ0W+JK7bd1dfg\nBEYZwnw88t1H5PjyWsDIvpNS5dXJfxCZaQHu2XfDP9TgnR/6+h6blNPrhu9h6vVr5fClVdKzzcUV\n2+6SnG3ou2nn7RIwArw891anly4Sxa8+Ld+b+SthOyvXDFD34yWi+NWn+6QOAMqfrpQt3zmn6TPx\nlko59s5KaQkawmyDn6iUIxdX9ckdTL3OaNpythtlv8//tFiYGfyhNQvF+NuNe3fscaP7NzrYKMOM\nePcRWXfrMlH2+pOy9qYHhM2iceLqR0Tp4BY+mv2ciIdt1Nz4oDh93yIR8wnMTlxzzLp8ldQtCnNn\nPinnzHpSmtgGw2Jy56uLxeYPlor5Yx6Wc2Y9Kb8utr8VgV5adfIHtSPDKiNSmjgZyOazHcPI3RXH\n2anjaU6SWp0gpTZBanWMtFMJsg5EGfCBSu4WhVObS7D4VXSHpH2KRvyMGzUlTkJXyXCECI+MgAB7\njyRcHod6J8RUFEVysC2flDEdlE+vpakrBWVbCv4TaagDw2xpHkQyoTIsrZXG7hQK8ropSO8lmLDz\n3bJDhJM2AgkHXnucrqSb7piLwpQeBme181lTCVIT6LpCo9/H8KwWUqxR8hwG1zjPaSxtM5xhPGqM\nSMKKVKB8RAPpr7sRV3QSuqGX703ey/jyWjK+sPDWe9ONDuEZ3fSMSXD0k3KEQ2POgBNk2YI0BX20\nN6fgPG7H3inwVXSRs0OgWnTUMw6m5NfSdiyLRIcTTVPw+CIkfDooEmtAkHRJlHYbrTdH8BcZ2bPd\nL0k9HccShbRjEing2F0e3Ce7ACPT0RwqmtUo06Se0hG6IcnaOTvO6Ip6Ro2ohR4rTk+MRMSKlAKH\nNcl3Kg5RG8pAVXROdGdRfSKXHE+QsoFtiATY/EZTSzjb6MxFQjzFQtyn0lvmpLfUSddwJ8EBDhJu\nhUCxE80GrpfSjEY0l+2sXMLXy3r+b2G79q77hAyrPHjgSrlg692y5Bdr5QWXPCudnTqmHO6+3ywS\nqdUxzE7MutuWCdN4pO7OJec2WgE1Jd4nG2yWfUzf0rJVlbLod6vl4L+skK9O/oNIGWPoxZS/ubIv\noJjYBmNF0NidAhi2gRdvulcu+fIaecnmn0sT20u+vEZ2x1zsv/wJsWDr3dLEdsVbKyQYgfLt6f8p\nHjxwpXxhwh9FntPAuIltOKdRDyCu6ATOaeCP+3GlfGb0W2LH64vF4VULxZf/sVAc/aScuh8tEYv3\nXyuzbEEmfPigLHrx2b4GMXPSMSfAKfm1533uJrZN6mnSJfteO3xplfzi5UVi328WidTTRvA3sV30\nwirpPtnFjj/fJ6Zds0ZqDqOTdcR9xvmbPztnx1mw9W65YOvd0sQ20CcbbaqUqooxwW+8aK24ZPPP\n+84f6MN2/+7cLe8tFZ9uWS56S518umW5+GTrcpFwG2F6yCPG/55+1RppYrs/A+d/Gt+KGv2Y9x6S\nTluCsRmN1IfTON6STX56L8GYHV+ll2imta+TTUlKNJtASUqkIhC6RElKYikqwXyFYHkCZ4OVEfOP\nowhJQyCVbFeA/QdLsberxEqiRkeoVyM9vxevPU7rZ/nkzmikuduH3ZZEVXR6T6UxftJJ2sJeusNO\nYnELg7I7OFxdAJpg5OAz5DgCbDgxmNTUEMMzWxjg6GF7eyldYSOQ6rrCtYP38nb1aC4ceJLaUAYV\n3lZ2tJUwIauebGuAI8E80m0hAD5rLiGhqcQOpjLnkn2kWsL8edM0yt6McGauG3ejxD8vRLLDyYQx\np1DOtqCe7s4kmrCQ5orQ1JmCyxUj3RWh66N8AhUJnGesRIrjuE/ZCFXEKMjrprExHcWu4d7nJFis\nYcsJo1V7kFbjPZ0tCtOu2cfRp0YSSVNxtWu0j7EwcF2AztEein9wktBPMvEPS0Vokmi6QudYDUer\nhaRT4hzSQ2FqDwWuHg515XHNwL08t2sOQ4ubOdWaidOR4JKioxz156Ig+fL0QIQiycnpIZ5U6Wr3\nQVRBDSv4Tgm8jUaw1mzCyOhVQdJpJHhq3JBPRhhaOZaIjs2vYQ0kUGJGpmd2FX4TwyxPXL71Z9LE\n9uY5a8SFc5+RGz8xvqjTr1ojTWxvf/M+Y/P2LLa3/H2pGL60Sn4V229M/a24Yttdcv/B0v/RjrA/\ns6V/Z6s5Bv9lhTS9YfuPkv9+SqamhujvNjXi3UfkoQUrRMVbK+S1g/eycuQ75x03bd0yOeFsV+6N\nn98h/zTlhX849ut8Ztfu+LEEA9t93a6vPyn7r4jACH4mto88tVBMW7dMNjamU3frMjFiSZUMFmvU\n/vQ+UbaqUkqrpHrhYjF8WZX8Z9g+tuKcA1jf9Vyzpk9iuP91FKb2nOcsVfRfz8j+2D7Y7zqLXn5W\nCkVS+4P7+/ZFin6zWqphBbPnYOb3Vkvz3pslpvG3V0o1Ltn1ivGaibdUSktEZ8ef7xNzZzwh/79g\n+1uR0Sd1hYlZ9bREvWTZg+SkBlCeySQcs+J+tJGkQxBNU4j5FBJugxsd9yjEUozfI+kWhAa+Oo30\nvRaSbskXx0o4+N4QWg7m0BRMwZUXJHt3Eoc7jp4VR9h1ujq8nDmcS2JwhLaNBXhdMfwdBlVRjQnD\nqm1PHuNyG1AUSSRpJTevG5svxsm2LBShM76knvL0Do525uJPOvHZo7jtceYUnWDigDqCSTtDs4wG\nKoeaoCfhItftJ9sawKEkaAyl0BBORRGSPG+AZFLFNqKXdGuIN9dNp/i9BIFigwXhnxci2eqifGgj\njcEUBjq7SbFG6KxJIxRw0HAyG88OF4FWD21+D0kXKBGVhFfiTDWastAEjfUZOHwxlCYH7mYd6dTg\nqBdXs0DkRbEGFIJlSQ505tNwoULHZI1gvkraCZ2GuV6y3z5Oy3NlTPnvAygJiW4RBvslppA1rRnN\nKbmjfDsPFb7HgvR9XDNwL14lytWj9zImtYFJhfVke4OUOdpoD7s5UDOA3Lxu0jICSCm4dOBRRFjF\nnhlBc+sEiyCUqxqcYYGhdR/SsUQN2qarNUHTfI1omsAa1rEFdGy9caNjtjeMEv5mzcEnZtUDhll3\nTmqAzXPWiKF/fawvyAPEfApb/7ZE6BbjKRPb5ubb4VULRd0dS8WxxxeKL46V8MbU34rStZXynRnP\nC1feOTPv4leelsV/fOY80+i2jQXAucaqQc9WnpfdmUHeNBSpeGuFvGP3D2TN9x8U5enGisDkrh9a\nsELcvfdGaWL76u13SqDvZ67bzy/HvibWHJnfF+Tv2XeDvGzLPTKZPF+dsv8Y9Iax4pi3caGcum6Z\nfGPqb4WJ7eJXDb599fXLRdEL57RnSn65Vp6HbQz3LXP/49DqhaL2p0aQNrFdsaJKHn52oTjQmc+2\nt5eIjskaW99dIo6tWCiGPlTVF+QfPfg9Of0qQ7p43I+Mz2vG+qWy+Fdr5aEFK0T/IP/C8ZnSxPap\nax8W/YN88R+fkXW3LBO1P7hfTProAXnpwKMA2DMjfUF+3I8rpYltMJR4p9y4VtpC54I80IftedNW\nyk+2PSTWffGY+LrY/lZk9E8fvkzu6S1klK+RD566gGC+QuahOAmPiv6jdqyKTsen+VhDZ6l0GMse\nqYCQxqafFAafW0lAJEMhngoJnySZG0fp+D/MvXd4XdWVxv3bp9x+dVWt4iJZstwLNmCbGiBAIJmQ\nhEwakE7qkOJCDwQIHVtKJpkkAymTSSM9EEIIENOLAfduuUiu6uVKt56yvj+2jiw7Zr583x8J+3n8\nuEnnnnvuq7XXXutd72tj12cw1icplgpulQM+lFRmyG8tJbkfIh/oIv1UDZELekivq8RpzBOJFvE3\np/Ciwtwz97BxQxPnL9nKix2NOAWLREmO6uQIg7kovd0lXDB7J5XhETYNTBzLtqeXdNMU6eGZvuls\n76yhNJGjNJJjYmyIqOnwRs9kFk/owBWTF361iFBaOO9za/nTk0sIzxwi9vsU1pVd2P9ZQe88m2i3\nMDQD6k8/ROcTk8lM9qif1UnOsUmGC4Q+7rPzngn4GZtT5+xjy/PNLLlgG5Mig/z2ibMIzUhT3FkC\njRnYHyfSo8hO9PHDQrjbJF/nMm/WAbYdqGVy9QCHN9RiNY5w9pR9bGuZh1kU+mabVK9zyFRbTP/c\nDrb9bDaDCx0SlRmKRYsPzNhAxHCYFTlCjTXIsB/FwOfRgUVs7JvIGRP280THLJoreij6FpdVb+KP\nnaewo72Wd83dyp83zKe0epjKRIbu4QTZnaXEOhVOHEr36tJQKO3RdbpNzdoivqW5++G+An7IxMy7\nKMdDTAOxDIqloWPqg/9ibAf0vbP+fZWcDNsbvrdcLfpsiwT+sOO592MG3F9rlR13LlOB1k3g6dr0\nQIvsvfZYNtp8d4sk9+ux/rnXto4N50DQEL1NTbu/ReaeuWeMb9/8m2+IU7DGyhygM9KOT1yvrt30\nAdk0MJEnz/umuuS5r0iA7fHaMxc/+1WZGBsi0K+/Zv0V8p1Fvxj7/2UbPiSBC9TpH2+R8djefs8y\nNe3+Fqk//RB/O79Fq0des3LMFP3SKV+VANtBWSuYLZh2X4uMx/aeD94y1jRt+O4qORHb+6+8STU9\n0CIBtgOzlRPXgmtaJcD2tvfcrm7afLlEDGesIfyPrvqf3CsBtjuuPh6L85a3ypaWv+fag67ZP//Y\nderCs+8UP6SncEEbyz/16q0q+P//t9d/SwT6j7/2KTmaLaHrt/UULkgTer6E+FGPxMEcYiiOnBvH\nPqOf9N5SyrYriimFWUAbxaLrwXDs75EBzQkfmayI9AoD8z1Kt1kMzneI7bfJTfLAA7EEDIhPyDDx\nfpP01zN076yicr2i5BOH2LutDon6TPyrweELBcIexpDNnIXtHBwsJRkpMCU5wOvPzOLU83by6rrp\nNM85zOGhFPm8TVO1zoZS4RwR0+GFjTOZNv0o80sPs+bQdN7bsJm/dc7g6IYakrP7aSjtZ9dfmsnP\nyRGNFSmN5TiyawL2sCLcr+DcAUJ/LqV/ng8Kli7azRsHprBoykFGnDAHH5mqfVYPCEu+/AZP7JlF\neUmW8miW3W/UUze/k76RGLIxRe3bDuGLIp0Pk9lQQfl2oX+WgZXVImvhARhu8LGHDc7/t/X8Zctc\njLTFtHmHOPKXKdS+lKHjXTFK9kHxskEye1J8+MKXSLsRLi9bx6Afo8Hqo9MrIWYU+PPQKWwamMi+\n7gpMUyhPZqiNp0naBbpySf3MCja27fGp6a+Q923+cGABIculOjbM9menUf2ahxfR5Ro3YhDtdcc4\n+3bawYtZWMMOKDDTBYzeASSVZGRWOS/+/tp/SaAHHfyCZiho+l5w/D5ybpztd+sf8kWfbZFiSjE+\nII9fp3yxRTZ+d7k67VMtMh7bHZ+7dkwMDKDhO6skwHbHZ69VF535DQlYHKd/vEVKPqEDKcCZH1wl\nhy+UscD5by98SQJsByya8VLBJ1tBsIXjA/nZT10nRzfUsPe65ccNNgUroIXOXdkqnDvAm5V1As59\nIPwWbB6Ln7hRAmzvW7FcBZvX+WtWiC+KoFy19IrVMh7bwbDWjNtbZfzQ14nr1KtbpHjZ4FgZZvym\ntb5jiiyqP6AAAj0izVS6RZ3x5PUSYPsni3/0D+MuMDc5/eMt8vpPtJ3heGG18evSumtEUkme2HHP\nP3T9t0Tppq8QZ1dbHfEuD88zCKWFSJ/OytyETe1LOWo/249Zm8O6vIfSvS6Ipu55ESimFMUSvQG4\nMUWmVrsfJdsFUYrEfot0k4+ZNokfEcxhY4zO2fyTArFwkX3vjWP8uIry5n7STYpDz00mdsQk1GlR\n99U9EPZIbAsjtrD99QYGexMcaptAfyFGaPYQ65+ehUR8BvJRzp28F+mOUPAs4naBkOExNdaHchSO\nZ7Io0UFpLMcjHfOYEBvmjLdtY3hnOXXRNIvfs4XKv0bI9MbwRBEeMCjfLgxPd8mMRECgonGAsq0G\nr7Y14vsG6w9M5sBgKZXvOoQ3b4SSjx9iY98k3K4YluHTm41TPa+LoVyE3JEEU87voH1LHR1HKnA9\nE+Uq0g0GZh6qLzrEzIvaGK4XrKwi0gv7P9NIdH+Isi2K6lgaLwpHzo3jlPqUX3mQWVVd3Ppvv+Xi\nki1cXraOTjdFs93DAbeMcnOEElXgyrJXmZbs5eKmXSRjeYbzYSrCGZ5vm8bOjloun7qJSRWDXD3j\nJTYOT+LsxC4+2LCOMyfsZ/9ABeEBxdBUi84lBvkybUZjFrSGfax9CKPooVzBcH2sgSyFmjgHrmoC\nQxE7/Pfeov/MNT7In/apFon0uVx8+m0SYBu0Qcn6B5er0r0uC77UKnOv1b/GX2fjd3W2/saPlqtk\nu56oDWiEQZBvur9F2q9ZqQJsn/aXm+Spl29RZ3xY0wQDbM++qVWa72qRANtzrmuVhu+tkgDbQZCf\n88jXZf3Ts/S9/+UmGW96Eqypsb6xPy9KdAC6F/DiRfervaNCXnXRUbOVj7dI/Q90+aX9SyvUkqtW\ny/B09++CfMP/3iuNv7xbpv3qTjkwWMr5a1aIN2+Etz+zXDb2TQLgtUvuUQG25z16q+SOJLj42a/K\nMxesVuOZPidiu3F1i0y/s2UsyAfyDAG7Z/aNrdLw3VUSYDtY31n0C/WLtsWy5cAkWVR/QL3a0SDr\nO6bIlWWvAozNC4zHNugyEDBmEvJse7Pct/0Sra3zp1vGnmfnEh2ODVf0NKyluGTuzSfNxP9y5DsK\n4x/PXd4SgX64GGZyQy+J/ziE7I9TujvLwIwQmSkJzJzH8JQwba11lJZk6dtaxaH3epTuKSIKvJAu\n2/iW/uWFR4d0Jii8CMR6PL2Th32qX4Pse9Kk9oJyFfiK4alRin+tomS/lt/tH4zjRoTUXh8nLqgZ\nI7yxcRpTf6nIzC0Q32+iPIUxZBFvN2lbW08uG6YwpUCizSZkerx4eCr2kEHPcJyib7F7oIpDuTKs\nCdoucXe+hrhdRCnB9U1e3D2Nkll97BiqZv2v5jEyWVFeO8RIPowbFbrOEKpeMaEnjOHASC4MAlMn\n9dBU04NbNMnsS5HOR5j0oE1Hdzk9L9fSNPcwxYerGRyO0rVtArFwEXxF3rURUxDHwBdFxZmdhM/q\nJV/l4/kGWw/XUboTJq0pkLzsKLuWRUjt8SmWKl5cNwvfFmovPsjNb3+EGakuzivbxZzwEfK+TZ01\nzNnRg3R6CULKY9CLYSihrTiBqFmkIjTCvIqjnF5zkK5cCe+evYVJtf0UfAvPN3jkyAKurn6eJ9Pz\n2J2p4WCujOaKHpre14aTgGiPrmWaRcEaKRIaLOKWRjFHCkS2H+LAxUkGTqkg3Jlhym8OIqaJKvzr\nJmPf9reVcvZT18nFz35VAEp3Z3nm6RtUZkqCZ5+4Xg1P0eqDpSVZmla1yHhsb31AKy8GjJXAfWrO\n9a3y+k9OPpiT2gtTv7VaOj5znXr6pa+p4l9HdZFMrS8zHtttNy9XJ2J73/IVyhiymHOdfq1cNszu\nW7QQWcj0+P6pP1XjaYun/eUmOZQrG6uxf7T5VfXO57881vAN9Gy+e+rP1LwV+r47rr5OzXlE+7Gu\n/dkKVfWKrt2f9skWmfG7O2Th5zXNdN9HblJu0WTrZXeoE7EdUELfuPRu1bVtAlsuu0O1/8dKlXft\nsWcx55Gvy5lPXi/hs3rZcdcy5fkGfzz7uyrA9tlPXScAqT0+c69tHTuVbL9nmbr57Y/w1Pmt6tdn\n/Ld6vaNentg3W3YerJMrml9TnV5iTF54Uf0BdcqUg2q8LnyA7f1XakmDwuhI7vJZT6ln25vlvIY2\ntTujxduC2YdZN7fKvhXL1cIvtMjan69Qzzx9gwqwHazxzKVLpy6XJ7bdrd5xyi0n3QhOXG+JQH9w\nYx1HtlRz4Jl6nCqHyD1dFC5Mc+hSn6GmCHZWqHg8gvdIJWIKyvLJfHmIsjaX8KCuyysfMMAP62Av\nBmTqFIWUQbTHJ9xj0bUESn+RoG+Rh5VVKE8x2GwwMsXHykLfAkVod5RkO4RGfMp2CmV/jDNxDYih\nmPxbk5rXcyQ6FIkDBsVSwQ8J4kPpG2FGGl2OdJVSmxwmPAjFgs3h30yl4FhUhkeYVt1L52AJL/Y0\nURrKMaeyk55cHMMSBjrKiNtFJvzbQZz5I1i/riBkudhpRc1LitCIj5VVOJcPEA0XGZjns/9IJfu7\nK5CchT2i6O1J0j9LB45z37WBQ89NpmepR+UfY8iEAv1vTGBCcy+ObyBJF2X7FLen6N5QrRUyIz6H\nttQQjjiUXXGIkjsOknNsDEvIVRos+eAmFi3Yiz2iyDk260YaSJgFkmYeb7ST1O9FKAhElMOLI9N5\nKj2XH/Sew2P9C/BFMeDEaBuqImo6WIZ2x6qJp+kqlJAphpie6ub2fZexL1PJlr5aaiJpKsMZjmZK\nyDY4xI4KFVtzRLuL+FELM+dgbtrDjmuTEA5Rvc6hbH0vErU58u7J5Ccl3xx4/4T13NtXqQDbcMxD\nNXCUeu2nK9Tij62WANvtH9OOR2VtLqf8R4sE2J759Vbxw/qHXQxddgiahKC168/84CrpW+Sx/ysr\nVMN3V8mM21tl8zd11hpge+91y1VoxKftZr1RTFwDzz6hm4U1r+vTxf6vrlDFUmHqN1eLjM6ajTS6\nvHzxfeqiZ5ZJePDY+3vj0rvVjxf/WE0bLVOev2aFPH7uf6ogO27/6I2q4bur5N9e+JJsWb1MBRvC\ntvfcroLAFRrxab6nRcZjO2jASs5i+p0tEmB7z4e+ps5914ax0tPSK1aLTNDUxsVP3CjBVGzDT++R\nbe+5Xb188X2q/7AWIju0pUafUB5artasuVHlHJvGX94tuUqDrQ8sU5e/9AWZc4O+p3UjDdyw6f3y\n07alcnp9h878R92jLpq6U72zcat6Kj2Xa9ZfIXBMYBDgx4t/rCzjGKX33gW/GzNWP6+hTX34lc/K\n+J7Akr/eINkGnYxUbD12+vzb8zcrc9Me6n9yr1w6dblUrzuWsBx59+Qxau4/st4SNfrGh++S2Bsx\nRho8zJxB5Sah+3SYtbCDrpEk8e+l6Jtl4yR1XV0aszjDIeJ7beJHtbVeMaVwoyAmY56yYglGQZE4\npN9jtkbhJAUrozDzkK3z8aM+Ux7X3xfp1oAxCi5+yMIYdVDC9ek8J0Xdr/bgTqvDtw2sjIOb0NlD\n3+wI6abRE0OVgZOAYkqw8oqKpZ109qU4raGD1zY2c8MFf+J7u8+l4Fg0VPSzZ209F799Pc8cmEYk\n5DCropsNRyfibU3hNWdxsxaT/mySnWCQefsIobVJnKXDvLNxG0//bCm8bQBDCYNdSZI7bTKLciTW\nRcnUCVKTZ+ZNPey4awIITPqDxYwbtzHkRBgoxLi0ehsbhyeRLkZxxaAvF6MskiNkeGw/UoNh+pim\nj1O0cIsmVshDRGGHRrXfLQ9DCb4oEhH97BQQt4tURDLkPQvL8DkykiJsuRRci+F8mELx2EC2YQiR\nkEPRtXAcE9P0tcvYUBR8wDFQMZdookC2O05irzYhL6YEZ0oB60iYpoeHUCM5GBqh4zPNVG1yiO0f\nIje5hFyVhWcr1v3wX2w88p1VciK2xzM3QA/1SGN2zH4QdN1+/YPL1cxbWyXAdiB7O+O2Y3K/s77W\nKgG2d96xTE395moJsP3CI8f3Jy486055+qWvqYuX3CGBwUWwLrjgHlmz5kY1XjJg6jdXS4Dtzd9a\npprub5Hx2N73kWO67gv+dIsUHIudl39djTfaCGiF419LT/lerxZ+oUU2fO/Y5zO+zh9M/I6fRg1M\nRS6tXyZ/6WhVerpX3+u/v/x5GSjExjYC0DX+8dh+9JzvqPGU0vHfH5inzHv0VjGUjGXcoKmjgWTD\nm/3b+OsG15r9x9skwPaY+NyP7hMcg47PXatm/eE2yXbHOXGad9r9LdL08BB/XX+7uqT6i9LxmWZ2\n3LlMXTL3ZslNLjnpVO2brbeEBEIynsfIRIlNGiH5myS+rah6Q8j8dRLZhTZDH++Is7IAACAASURB\nVB0hHh0mm44S3h2leChGokdRtbFIrtIiebDIYGMY5epyjTeqxR8E/P75QuU6HfCH6/V4fq5aSO1W\nZCaZDDYqJj7RjSo6iGWCUpiFIulFWho2ub2P2h9spPsjCyjfnsXMu7gJGytdoFAZJdXuEOvWEr6h\ntGCPQKQf3Bh0r68mNa+PjnQZ4QlZvt92DrFwkVmVXTTE+thRVcfWgVpymTA1qWHWHZ4MaEEwtTtG\nxeJuIj0JMjVR3ANxKi/qxFDCjnQNucUZUpZHbTLNcCZCfoJFc103u5wajAGbCZVpwj8vkOzPkd1d\nykgtvPiXBZg5MIvwU2cyThzylYIf9hFb6BztXeAojKKBU1HAz1uosM5QwhGHXCYECgpiY4U8ErE8\necdCROH5BkXPpDer7RNNQ8gVbXK5EN6IjSro/olEff1nH6pndVIbS5N2tNZ4eTjDS7kmPfTkGqi+\nEFnHwEg4ZKYqQr26fBZpi2Dm4dCFpWQakoR7awkNgVHwKdQm8SIGhgul28Z57v2T14I/3SLG42W0\nf2+lWnLlahmP7Vl/bZUddy1TC/50i6TTUfbfqAPmnBtaZdu9y9SSq1bL+p+tUIs+0yJ2QrGl9Vjj\nsPmuFmm7bbma+p+rpXKdYse4Uk7j6hbZv2KFar67RQYb9T9f2rRS/rJ3lbpk5g1iFzQl78m1t6pL\nZt0ocvAIPR9ZwPqHlitz1MBlvC5MzSt6RmHzt/RE6N7RTXPavS2Smtc3poJ5ymNfk1jYYVZlFzds\ner84VYs59+lr5UBnOVPrjlntzbpZv+/qukHefu5dsuH5m4/Tsd+RrmHar+6UVDLHpnffpRofvkv2\nrdL8+fqf3CuGqROsv3S0qnmP3ipml87YZ9zRKrtu/b6at6JVOF/X2jW2pyC2sHY0kNZ//wExippG\nXf/D+6Xj0/q9zv7jbbLz8tvU1F/cLfuv+PvG8PiAvvDPN4tpCG9cep8K+P0N/7VK2v/jVqWveZ3a\nefnX1dv+tlLmV6fHrA+vWvtpeWlvEx2fuknVP6gH4LIDUYyEztaDspjhQjivOHShfm/7/6OZkJ5D\n44mtd/3DAT5Yb4mMfsbtrRI/IvgWTHh9mAM3gFpfgjMvQyqZI1uwsZ9NMbI0h+8pJv/aIrHuAEQj\n5KdWUExZGEUhV2GSr1D4o3V70MFeLB04Szp8nKhiZIoi0qNt62JH9OZgFKHm5SG6lqZItTt0nWpT\nqPRQntIBJ+ER7rSIdipivT7peoPQkJbndaOaBeTbYBaEoWaD5H6hmFKEB4ViiWJwgUPj1C5mpboo\n+BZHcyUYStjTU0luOMzE2lFtn84q6AzjxX3q1hj0vj9L7LkEdkboPd1HTMHMGIQaRsiPhLlo9naO\n5lJ0jiTxfEVtcpjtm+qZtMbnyAcdqiuG6F1XTWo39JxXRClACUZvCGNiFjdvE90Vxlg8SLajBDUh\nD0cieEkPQj4qY4GnCA0auAmfyNRh8ntLqNgCZ39lLTXhIRZEDpAXm7hRoMctIWI49LkJhv0Ia3pn\n0pzopt+JcyST4tKarZgIYcPh0a4F7DpSzaXTt1HwLSZHBnhfyQYeH5lLRLnsyNYSNwsczJWRtAr8\n7Y25yOiGE9sbIler5RDEFlLbLaycUChTZOt87dA1pB28ol2KN6Ov/TOwHTT9Ll58uwTY3nHnMnXq\n4zdLtmCz431/P/By6bRrZTy2X3j0WjV3ZauMx/aOu5apE5kjM25vlZNhe/O3lqkFX2qVTd9eNsbM\nab9mpc78E95xlL8517dKgO3xPO7FH10tQ80Gu27V1zjRxu6L666SANuPn/ufaubvb5cA2ydmwsFa\ncE2rBNhu/+Lxg0mfeeNj8n9he/xJYvxqbF0t+5atGKt9G4sH2fae28cCcv1D9wshn46P3zAmCNfY\nulrGY/v1/1mu7tt+iSyIHOCSxu3qqf0zpcctGbP8a9lxkSyf9ZQKTh8XPbNMLq3ZyvJZT43dU9PD\nd8neD9+sPvPGx2RyZOA4Subn131U4mZhTOu/4Xur5GTYbv+PlWr+V3UJLkgAgmtMu69F9lz/j51U\n3xKBfsGXWyXW5aF8SDeYJA77eCFNo6vYNMTI1CRuVDE4zcCL6VFlJWDmtPStGxeUCyX7dPPVtxTF\npEG+QuFG0E5OKf0DH+vycSMKY3Sa00lAaEiXbnwLKrY7dC/UfHXQwTtXo+UBEh2Kys05MhPDegp3\nqtZOtzvClO6GwZnH7snMQ75KsNP6hy3Sq3nSxZTCC0Ox3EcUSIlDXe0Afek4ZcksphK6BxOUPB1n\naBpE+hTJg5o73rNIET2qyE4UKud101zag6181uyYgUrbqIoCl87Yzoa+iXRvrsYPCX7CRWVN4gdM\nnBJtsVhMCWbjCNGwg215DKZjGKaPvy9BeMYQ+d0p3FIXc8Qk1jSE7xs4jqkz95crKd/l0bnU4F1v\nf52YUWR6tBOApJFn2I9QZaUZ9qJk/DBDXozn+5rZ1DaZqtohIpaLbXq8q2Yrrw01kLQK9BVinFZ6\nANtwmWz3EzMKZP0waT9K1g+xI1NLVWiE7ekaDqbLOKXqMK8eqacslqNrMEksUmSwM4kqGkjEJ9ph\n40V1SS/crwgNwabv/GsCfbBOnLA87ZMtMh7ba3+2Qk27v0VEaWPoGbe3ynhst92kf6DPev8qCer7\ncCz7H/9aiz+2WsZjOwjuoANfgO31Dy1XOgv++2ejs9OVqvmuFindDUHzN+Dwj//a+V9pFcMRNn5X\nWwQWy332f/nYBhGUM8588noJsL3+weVqzvV6eCnwyZ23rFWCU8tVaz8tAbY7Pn7DaJatA3vTqhbx\nQ3L8a9zZImZOseOuY/r3QdnlzSZ/5z56qwTYbvvAMTnhplUt8q63v36c5+5v9pwqw36ET01/6bjr\nXPbCNRJge7yRDMCnX/+E9BVi/PHs76r7tl8i189+Qv1x7wJ5b9Mm9f1db5MA2w+d9r/qvS9+UQ6m\nywgklgNst33gllHpZr0Rz7y1Vbyo0Hbj/7dS5FuidJPa51BMmjoAlkC2aKAEap7t5+C7yvXIuw35\nGhcUKF9p1ogyqXvRI75b667k60tx4iZiQOnOEZTn45RGyFXZDE01yNQJ4QEtn+DGFGW7inSdFiLW\n7ZGeapKt9al7Pkf5LgPfZMzkOt4FxaSBlfMYaoogSgfx8k0GxRJdPjBcH6Ng4CaE1G59v/YIZOvA\nHobhqT7RbgM3JhRqXEI9Fr4N/pDNyMYa3Mk+XZEYpVMGiUQc0m/P4h+NMtLskq+0mLjwKEuT/YQN\njzc6J+P5Bm8cnkIuHWFiXT+HnQqMrjB/6VnIzFUH6PusIjSgmPzzAm0fiZNblMXeHaNqo4PzlT48\nX9e1+gYTVJen6d5QjVlQjBxNQJlLKFWgumGYRKjAUCFCVTTDzq4JlJ3bRU+kGpmUxcQn7UbpclLM\niBwl44eJGQUqjAylRpaN+Xq+/fr5VL4QIj5B0Zsrp7a5h0OHqvidewpdfSnC26LEzuylIpylOpwm\nZebYU6hmbvQQPW4JB/PlzI0fYW++itNKDzAvdYQNg5NJRAp09pcgB2PQnmDCiJYj7ptrka/1sAcM\nwv0K39Ynun/VCgZaXv7NShV4hwJUrBvgr5u/cRy9b891y1XD91ZJ/YMPiBU7hu2AK33W+1dJUI68\n+PTbxCmNkKyymXVzqxRTwt7rlqvFH10tbkwRNGHh2GZw8eLbZcdrukZ85ge1aNf4IB8MZ027r0Xa\nr1+p5q5slbZVxweUWOffJ4bDU332f1UH3aBnMF6y1z2gyyTZok0k4hAMg40063KFfXUnV639tGxp\n/eGYJHLAgGGxllk2h8NM/dZqmbnqAHsPfkvNurlVLl5yh7R9JM7+r65Qu7+mrxnITQRB/swnrxd/\nb/VJP5uT8fanf6NVpDmHie7P3bPtnTIjcpQPTNugHt5zmrzc3ihnNuxT3955gaxaezGVLzTS8YPl\nquG/9PMcb9j+w9P/Z6wJe/3sJxTA5twU/L0LpeBXjGE78B0APceQiMTp7C8Z69V0fOY6tfhjq6Vv\nrsKr9bEHNAhm3NYq4UGO+6zfbL0lMvpTr9bsgeSBIoVyG0QYmWTiW+DGwYkL/oQCQSovjsGE52zs\nnE++1CA0rDVB3KgiV2EQ7fOJ9HsUkybhIQ+z4FEsscjUmNgZIXmwgJOw8G2FbykOXyBUbDCJ9PtY\neR+j4IOhUK6MbjKGNrEYdrSYVjM4KZ/yjQahEc1IMYtCtkbX/5MHfPJlBsUSreIY7RF6FwqJgwZu\nBKzRcmW2WhBb8EpdKl626T/F14bhYZi06Ai1sTSuGBweSTH4XA3ZpiKpzSGG5hcJlxSY+N8h7Js7\nOTRYivl8itSlR/EfmsDwZJPMRB+/qkjTj4SOSyPMPGM/+//UyOQHt5L7XRnp39QxNF3ww0Jsoh6h\nt02PxbUdvHa0nlQ0T961GFhXRbHKwywpEgq5OPuSJA5oeeKG9+9lRkkXtvKYGz1Exg9TYw8SV0UG\n/RjXP/xRku1g5YVCysCNaf/OTJ0i11gEx8AeMInPHmBqWR++GFxevY5SM8uGbAPlVobmcCevZKYx\nwU6zeUTzp6Omw76RShJWgX1DFfRtriKUVjjzR/COxoj0GJS0+6M6+fpn4JWH39xZ6J+9Av1yONZY\nbPjfewUltH/0xrGBmUWfbZHQsPDqLzUzJ3A9Ovff7pcA2ycbqDn33feLbyte/P21qv77D0ggigZw\n3sX3ynhsP/PUDercd90vgXMSHMvml35kteQqjeNOBEuuWi1rf6bvY3yD9MSlJYRPnnWezFWq/kf3\nSWpziM3fXHZcozRwvzr7qevEf2gCL/965Vg9PzDpDq5xSemnZTy29y1fcZx71mfe+JiciO22m5eP\nlXRO1JO/dtMHJMB2ULJZs3+GDPoxLm/aMPZ1C65plROxPV6GOhgW+5/dZ0ipmeW9TZvUt3ZcKP9v\n2H74jAdV8Byn/fob4h2Nsf8revYg+AyC09DJnvP49ZYI9LO+1iqpfT4DMwysHLpZZ0KxVHBKPFTc\nxQp5GKZPMW9T/wvNu81VmFrEqqApllbep1Bi6nJLlaKszcMLKeyMT7i3gIQMMjVhYt1FlCs4CYuu\n021K9gvxo0XE0jo65qh+uZl1tZiaL5jpPChFz5Jy0o26RDNpTYZ9l8eoWi+ERrSMbrjfJVdlY2d9\nBqdZ4I9Omg4K5dtztH3MBl9pgbUJHnaqgNcZpby5n/6BOLVVQ5SE8+xZW49bW8A+GMatzyODIRoe\ncembG2ak3kfKixjdmlffuPQA+7oqYX8Mp9zDHDHwKx1de/fAjUKx1CdaP4x6JUV4QBiYI4QmZZhU\nPkh1dJj96XKGslEKe0oond1H7+EUjU1dtG+tQ0odrCMhnCoXM+YS3hrFi2gZiokv5Gm/Wrhu0V8p\nNTM4YmHic+ePPkLd8xkykyKgFJ6tBcmCEpmdHdu3cSMQTgsNX9rF5NgA1XaaSitNl5viYL6cyZF+\nuosl9BfjVIfTrO1roKO7HL8ngllQRLp1j0RMqNhawE2YhIZcehZEyCzWJ5mTlSf+WWvpFatlYIYx\nZr03+6ZWCbAdBOHxwe1t77xfAmyvH3WQOvt9D8iLf9BfO/vGVtl+j77WOe95QF545Fr19vPvlvHY\n/ttzN6kZt7XKeGw/9/h1KlBKfPaJ69WFZ98pyheeevkWdcm8r0nPkvIxM42AmbPkytWy9uc6kAQi\nbMFrgq7nb7vv+Gc7/c4WCTLsqd9aLfu/ciwQXfLcV2TP2nr2nLAJnHfxvfLskzeo4OsbV2tq6Xhs\n77lBSyz/X9jedt8ydeJrnrjqH7pfGpu6CLxlx6+gUTye0RSsn7YtFROfK5pfUxeedaeciO11P1yu\nTvlii9hZXeMf//k3fGnXWEP2f3afIZ+Y/oq6Zv0VcjJsn3hf87+iGVcVWws8++QN6kQTlX9kvSUC\n/ZkfXCXRriKdZ0SPTbyGhGK1i11SIBpxKDoWIlD1yxhuRBs+F0u0/ombENyYEO7T/rJWTk+X5csM\nxIKaV4Zx4zZGwUNCBoUym2LCIFdlkDjkYRb1iUCNUl+Vr/sAXsQgsaMPRHCrkvTPihEZ8okfypFu\njDHw3gy27VEsWriOiV8wiabyuK4+WqUSeYazYabe6XD4onKsjG4WFlNC2Q7oOctlzvRDjBTDxOwi\nAw9NYahJs1L8kIDo3kD8iKKYAjsNIw0eqZ0mxVJI7fM5ep7P5Kk9FH9azVCTQfUbDkfPsDBmjCA7\nEjBzBOdwHKsuS3EoTMk2m6mX7yXvWRweSpEZjmBYPjXlabxRdy5DoWUTDlSDY1C62cbKCn3naQql\nZPUGlqwbxn29DBRMPv8A769bT9wosHa4kcdeXsSUJ3wKKXNMbdLK60lWL6Rt3eyc4JtaiMwLKTrP\n9bnngt+wp1BNzNDMkLxv83J/I3NSR9mVrqYuNsT2gRoOtFWjioqSPfoEFx70UK6PFzEZnmSifChr\nK+DbBna6OGbk8K/A9su/Xqnm3NAqb4btYMT+rPevEjeiWPvzFWMNuOZ7WqTtxuVj4/+nf7xFAmxv\n+s4ydfGSO+Rk2B7veXqydfb7HpAA20/suk+Nv1c4tvE0/+YbEmB7fJZ66uPasg8g0NEZX0Kq/8H9\nMmf6oeMopDO/rp/BidgOTjcN31klJ2K747PXqsUfWy0nYnvX+28d20gCbHdcfZ267IVr5NFzvqPm\nPPJ1yQxHaL/qRnXmk9fLidh+6vzW42UjfnaPBPo+J56CLnpmmTx1fuuxE893VsmUJ3yef+w6teSq\n1eKbitd/snxsU1z0mRaxc0KQdY9fd2x9t9w6909q1fZ3yMrZf/3709jT18qBtuoxNdKlV6yWV3+x\nQgUb4SlfbJH/P9h+S9TorZxP5xlR1OgO7UUEp8QnUpbXRhlKGPQMyn6RwLfAiSm8qC4fiKFNtI2i\nIl/tUSxVRHoNrKzCHhbEgCPnJqlbMwSWAY7H0ClR4p0+qf0u1og2lbayHl7E1A1SS+GFDeKHsrgV\nCbyYxVBDCDEhU20yMD1Btt5h8s+jHHqfR23NAP3DcexEnojtki2E8H1FJh/Ctj3Ut9JM/KoCT+g+\nq4zJFx1g4nlD9BQSbD9US+LVKEerBWepdkOy6zPIzgTFiUUqXrFxo1C6WzeRo68bKPERy6BrKaii\nwvmfajB1wzdXYWEWFO7eBImjkI7FKZ3Rz/yqo2zuqWUortUilenTWNfLcLhI32CCwWdrsM/o1/o6\n/SlKInnMfhtq84SGLLrPcyhdGyE9zceqyWHuiFMYKCXZLQzO0MnCkBelxMjx6ndOo9yGQqnCcAHR\nAV1GR7aVoLnwCUU4LThxrVuT2Gfz27mn8r4JG8j7NrvzNZho68NBJ0rI1IqaJeE8JB2UKSSftcmX\nmVhhhaEMiiVa3iIyKOQqbQwPQn3/Oj16K6dPhwG2x3RWfneHlCayrH3HvWrWH26Tsl8kkFFsL/hy\nq4ilh6O8Mv1s89UejS2rJTLRYPvdOltc9JkWKZ6bfFNtnCA4BN6jogClNc9jR3Jj2AZtfLLh1yvH\nBNMm/DwK/85Yk3Luo7eOZYSaH37Ml3Xi0wO8Y/4tEhnF9idf+6TMm5HgsXO+reZ/pVUCA+1iymff\n8hWq+a4WCbC9/kFNI3UjivYf6OA2/6ut0rVU6/QsuXK1vPbzYzK9bTctV9Pub5FT/qNF0k0yhu2f\nLP6Ravzl3bLvI9p9K/CLbXr4LglvrmH73cvGnK7OX7NCGltXi1nrEJTJUmsjcJV+f5FOi+Z7WiTZ\nDoMzhKaFx57paZ9qkXLb4PnHVqozPrxaDDlJQB/F9onr8pe+IO+b0MNDu86RlbNfUKA3kYZkHwPF\nGL898/vq+QsfUA2deljs7Pc9IG6Zydnve0AMWyePG7+7XJ3x4dWy5m83qrP+fZX8o9h+SwT6rtPs\nsWzaSQpuuUs4pYN8zHboz2ghrkyN5r+LAVZGBwwrDwwZuFEd7FGQr9SNz8Cc2j4idC8pwc5C3zwo\n2afrk0GQ98IGoYEiXsSk5xSbkg4fsygMzNRSv/lyRf3vu8lNLaOYNIj2KWpe9RmcFsLqNKEGQrZL\nLm+T31HK/LPb2Hq0llikyEgmQtvRCTS29OKKQW7QoiSU54Vn51H/5zxTwgYjkwQ/pLCHTXLVPrFI\ngeFmBTmb4QZ9woiPSm4YruAkFNk6oXyzYrjeQPk+8aNFzGKI/tkGTeftJ2S49C5MUBiJMTwS5cXh\nJhqre2kq62Pn72cwPMOhdyRO2Hb1pjTFRbWXMlwZxbQ8BnMRJs8/Su9TE+m7NEt8U4zBea4uRWVs\nvOYcfs5iyLLwQ8K+rkoOpsrHMnF8cKL687AzEBnURuLZMl2eC6dFbwCWwsoLmRqL5AGfHd3VTIpN\nJWXl6C/G6ckn8FEMOVE2HppIIlag4Fqk1kZIN/vkKhTVH2vn4B+nUvfsILG9BQYXVqE80T0YBSMN\niX8FrAF4/k/X6Wz8gWWq6YEWCTjWQZAH2PG+29SCNZr62Hx3i1gZTZ2ce22r7Fy+Qk27t0Xab1ip\nGltXS75SbxwLP98iGx7SWWQgdha8ZpAF+iFDs3TWHDvmL7lKT9A6MxOMl1HY8P3l6owPrZIdv9LB\nNlN9TFJ43qO3Sj5vj9H5fF9/WyFv0/TwXdLYMsxT57eqmb+/XcZjm+cgNKz3h9k3tsq+e1aohX++\nWdpuHuWBf1Jf3zhmDsWiz7VItgnKNyumf6NVdv/8WBBNN2pT8bln/j22L8osk0X1OeaubJXhGQ6l\nNcNsevc3lO+rMdG4596+SjX/5hvS9oHVigtGL/ph/dvgPH0T9T+6T4xmb0y+IFjHCZqNShm/8vAK\nteTK1RKUsgop/S0BtoMM/9SrW2TdD5arHd3V/P6sV8eue9kL14hPiMAq8ZTHviamIbRfpZ9PUKoD\neMeir8slM2+QwYVVvPrwCrX0itXy6j9oDA5vkdLNrJtbxY2LpsSVeNjJApMrB0mFcgw7EfZ3VhLZ\nEsU3QWyd8etsXrAyOnBogTNBAC8qlG1XRAZk1PlIUx7TTYr4YcEoQrTPw3B8xFQ4ca1tn9pfZN8V\nCpU1QUCVFZn8Swsr65GvtDnyNihpM8cMUPLl+rqyeIjFEw/QNlhFphDCf6acyz/5LI8dnAtobRrP\nNagqG2bomRqm/LGbzPTy0RKGpnoCFBMGXggK5ZqSCeDNHMEZiFCy28ILQeleb8yftZgw6D7bZVbz\nYXxRDOajOJ7e+V3PZEJyhPmlh9k7UkX775pIN/mQchBfoXImRlmB+ZMOs3FjIzPnHWTHzkk0TOvi\n6IC2eptYPsS+/dVEO2yKpT5GUeFOLCBZi9hBi0KFjzViYI9Aar/HUKPJ4ss3s/W/5qFEm2g4cYUS\nKJRqymloWD//fJUiecDHyvmYBcHMe/TNjjA43+UjS16l4FtsHJhERUSbshwcLqW7rwR6w1RsUITT\nuhHfu8TDKiky9dtC55lxqjYWcKMmSgQnbqJ8wbN1OeSfi+rj13hud7De/sxyORHbu27VJtMnYjvo\nMTR8e7UE2B7fhAtokqd9skXGY/v5x64bkz2u//F9EmC7/RodJC644B7JV9oEJZsFX2qVANs77lqm\nZv3hNlk88QA/WfyjMUbM17e8Rx47OJd177xLzfjdHfJm2A7opEFJaOHnWyTAdvB+6v/7ATkZtl8a\nF8QC9c+Ff9YMlvHYbl34KzX/q62SbvJp/9IKFUgqB98bzAuczEe2/of3S4DtYFir/r8fkBOxHfQg\nPvnaJ+XHi3+sJStCaqyfMfPWVjHz2jPgxM/9be+8X8y8x5o1N6r6Bx+QQCX0/DUrJKjFL/nrDXIy\nbAfT3BeedacE2H7mqeMdpcb3UP6v9ZbQunFSglPmIxMKGFGXVCJP1HKImC7DhTCRzVGcuFCo9HGS\nPr6t6+leqUthgku+yse3BOWMilLmFMlDLlbWJ37UIdrnMTJJEe7TgcYqCE7CwMq4KE+wMz7xLo/u\nRWE9gBP2idRliG6LUiwxGZgexokaTHncZ2iWy3CD0L+0SL7ax8xDoT3JzoEJTEoOEg8XSc90+fnj\nb6MqPkJFLENpIgtAV38J1Rcdwt/bzsH3e0S7CoRGPO2U5WmhrsiAT8U2l0gvJA4IkdcSJPZbKFdL\nNvR8IEflZzqIX3MI+VAvE6f00ZNJkHVCzKs4Sm1ymIF95QwfLKH3D5NZ1zeFzoemkj0jQ7LdQPIm\nZthDlNBU3ctAIYaEhHQhgpFwqIhkcAoW0pZgX8cETp25n3xzHmtKhvCAIpYsoKIe2ckuoX4DswCx\nLqFzqSJX7ZPxQsS6HczRBrnhCMWkppv6NuQrFLlqRaRHb25GUTAcXbvHAHPY5FC+lNd768fkFbZ3\n19B5qBy/aFK2RdG7SG9yblQx9fc+ZU9G8cMmuWrhyFlhiiXGmPuYKL0p/ytXw/dWyb5lK9TUX9wt\noEfygeOwvfMby5ST1Nn63pXL1b7lK1Rhgsv2u5epXbcuU813tci0+1uk/UsrVIBtYMxzNDwqIPnG\nj5erFx69VgXYBsbojMEATqQuw+ybNKVzYHqYl3+9Up37rvul/r8fkE3fXqb6lxbH+Og73neb2jkw\ngQ++8jnZ9O5vqPoHH5AA28BYrfyVi+9T2+9Zpp7YcY8KsB2sl3+9Ui25arVEBvyx93Pq1S0yd2Wr\nJPZbbFm9TGXrfF7+9Ur12k9XqPg1hwBNjTz18ZvlyfO+qT79+idkw7vuUgP7ytly2R2q9w+TaV34\nK7X4Y6tl8zeXqfYv6WBnjg4dXfTMMq2VExLOfPL6sSA/9ed3S/M9LVL/4/uk49PXqXxznn3LtevU\n7D/eJgG29y1boQJsN7Zo5c+MF+Jtl94nr/2v9o895YstMutm3TvxR7XUZt/UKoGfLMBzj1+nfEuX\n44IgD4z5VYA2XfeLJvu/vEK98ePlKsB20Dh/+qWvqa0PLFNHzgofh6szP6qyRwAAIABJREFUPqRd\nyf6R9ZbI6Bu+vVqkxCEc1xS+hrIBElYBy/DY2DWR8KOljEzWwbCYEvyojyoq/IiPVVrEcwwkZ6Ec\nhViCinoYIQ+jI0rNqx5OTDdewwOCnfNxogaFUl3+qH88P9rUKNB+ncL3DO2nmsjjv1xGyX6P7AQT\nJ6HpU8qD3iUe+KASWi7ZOhomOacPxzOZUjrIYD5K+qka3nHlK+warqZ9oAxTCbmCjetYoITpd2bp\nO62C7qUek55WZCt1UzHaXcTMFslMSdC12KB8QQ/xUJHBXATf12qTlulxRk0H8xMH+X7bOSQfTBHu\nLzA4PUamTuv4DE93qXrVZGC2FsXyJ+dJvhwlc84IdeVpso5NzHY40l/C4ikHOJrVomJdnaXMazrE\nnicbiS7tRUbHMGMhh84t1RgO+PV5OKo3RT8klOw2sUc0tSy6tJfq5S5uVZJcdUQriVYaKF8zE7yo\nZt2ICYmDQuKQLpkZrlBMGvQsMrCah7Etj+GhKKo/RPkWhZPQDemyXT698xVlO4XuM4Ta5xT5MkXy\ngMvADBsnoTeUCetdCiX6uob3r6dXTv/tHRIKHS/HO/fRWyX8aOlYZgjaTDyYEA0mK8dngsEKyihL\nrlwtuSqDzd9cps784Co5GbafefqGMcri1F/cLYlEni2X3aECXfzxLJ76Bx+QANvtV92opt3fIsk5\nfWx4110q0IWfe22rvOPKV8amOhf86RbJFWxtgj3O7q/++w/IeGyPHxibdl+LlC/o4bVL7lEL/3yz\nBNje8iaa9Kd9qkUCbAeUzoAO2fjLu2U8tgNhs2Cdv2aFBNju+MT1auYtrbLzG8tU4DsbKG1Ou7dF\nAmzvW75CNfzXKhmP7Z3fOD5jP+NDq+Rk2N5x5zJ12qdaJMD2C4/qz27afS1iNQ+z8/Kvj+nznHp1\ni5yI7bab9DxF+xdWqoVfaJHkAZfx9FfQcs+GK//wSfUtEejrf3yf2DGHSLRIaTRPQ0kftvI5kCnj\n8DOTiR8R8hX6yBfuh2yt4EWE0JBBvsojXJul0B1DQj44CiI+Zr+FUVS6MRkTyrdBtM/FtxRu1MCJ\n6WGawVnCjIcGcMqiHPyyRyjkMtyVwIi5RLdGcWNQs9YhV2ExXK/1ctKNUKh1UWGPSGyUHXIkTqp+\niNJYjrJwls0HJxGOFDm17iB7hyrxRWEooXcogVOwiG+JMPnxPig69JxTzcCFOcJhB6dojYmJKQWG\n4XP2xP1Mj3VSamZZtf0iJnw/ivKEQpmF4QrWiIcbN8lWmRgODDcojKJW8ixUeYjto8IeaiCEWZOl\nvCRL32CCxupeerMxJpakGcxH6ewvwfMMTNPH9w28tE20KkvYdhka0to1lX8L07PE02dBH8ycgZlV\n2BlFtEvGhpMmvNjLgcuqqNjmYrjCSJ1FtM+jUKLLKWJoWmy0u4iSY/6/ez5qgmugoi6G7eMXTeyD\nIcSCcN/optMluDGwcrrn0vDnAmIoeueFCQ8KuWpF7KiQblSU7dJTxf/KQD/tV3dKgO1A5z1Yp17d\nIvkKxbb7jkkUjNd9CVb9D+8XHMV4NkiwxksRBPX5hV9okcFZx0+PgqYWGjH372rQAatnPDVy5u9v\nF9DYbr9mpRrPf5/1h9vkZNgeP2F6yYzrJcD2vg/frKb96k4JhoBm//E2CbD9/VN/+qafTdBQHu+6\nFayG762SE7G954O3qGCDBD2A9Ng53z7utUGXaIIsP1DKbL/qxrG5gxOZN+PXJXNukgDbLzx6rTr1\nal0uG4/t13+yXF1wwT1yIrY7PnW8EFnzXS0SKIkG60SRt/MvvFcCbL/x4+VjcxZv9sxOtt4SpRsz\n4hGOOMRCDqWRHK5vYiih4FpEu/UUa3hQNL2wXjddG/+Qxx6BcJ9J4WgM4i52r0Wk2yLWFiLcr3fa\nfH2Rsh26C54vM/FCCrMo2FlNwwwNGAzNLmXf5xVKQaFgEy7L6xqQ0tlwpsYiMuiR2qebtNWve+Ap\nJG8iojBNH6sqT9h26U4nyHs2TTU9hCyPDZ2TUICIIle0dQA3BPucPto+Wk7b1dX0nVvEdw0K+RCl\nJVnm1x1hXs1Rcu1JJnwrSvvHp/DIiov40Q3vpfKhGIbj44U1DdMa8fCiOnON9vn4IT327ofBNwUj\nr7D7LayjYYyiwhmMUJcYIpnIcXQ4ySlVR5gUG+Tg4QqcrE0o7DJ34hGqK4ZQRYNUPMcZde2EIg4M\nhJAP9KFEYcQdjLyBl/QoVnlkJ3n0X5DHygkDswQ8n7oXs4T7CyjXJ7WvQCjtEut2iPa6pPZmKdk1\nRLi9F+X4IGAfTWPFXCKdFuUvhIm/HqPy2RDJA5DarRvvVl6fBkBnT4mDiuEpYQzPx4uMqpD2CCOT\nFKVtPrlyg0LJvy6Zb/zl3bLnQ19TAbY//Mpn5dOvf2Isu1r3g+UqPKj/OlIvzLit9bgg3/AdPXFp\n91p0fP5aFWjSB+u0T+kgv/hjurxgFoWlV6wWKwf7v7xCnfGhVcd9fbgsz/4rb1JB6SZYqX0+S65a\nLdWve9Q/+IDU/+B+CbAd1PODIH/RM8tkx/tuUz9b8kM1HttBkD/lsa9J0/0t8sSu+1TfuUX2ffhm\n1fjLu6W0JMu/v/x5+eArn5Nce5Ktl92hvn/qT9XJ5HbP/MAqOe/ie8WLmpz77vvHgvy85fq+m+9q\nkfYvrFR2v0X7R29UAbbf++IXZe+Hb1YBS+ixc76t6v/nPnGyurby3he/KACqaLDkrzfI59d9VNqv\nulEF1Eoliqk/v1uMvEFgkNLw3VUy9ed3S/CMn9h2twqwfd7F98q6HyxXL/7hWvX6T5araK871uQO\nsL3mbzeqANsnrqS2E2bBl1tlwZdb5bRPHSv7zP9qq5z+iRZ55ukbVIDtUz/dIiOTNDwWXHO8VPX/\ntd4SGf3sP94mpuFTFssxKTGIoXxs5bOxp47iC5Var8bRfPlItyJXKziVDhVrbdzoqHCTA1ZGGJmM\n1sMxtdhVco+JUQCnRE+sGo7oBqqpKCZ0Vg9gvLsPz1cMtpdCqUOoPYyZUzglus478TkXDBiaahNK\nax2V/rOLiK+Il+aIhYsMDkeZWDFE2HSpjaV5/tU5TJ7dydGBEhZOOsSmIxMJ2S6ZTATxIZ7M471W\nRjElVGwWSncOY6RzoBQSsbXvachCDAM3FUa5Pn7IxHB8iqU29rA+oQCYjk+uKkQxoTV+DEdTT4sp\nbayQnmrAKWmcPUlK5vRRGs1z6NWJ1C4+SnOqh+efnA/TMxSzNvMaD7O/v5xi0aIqNUJXfwlzJh5l\nsBAlnQ/j+Qa5vI1l+eSzIVRviPLp/WOfp+sZFF8tZ/ITQ2AqlOuD66P8UaphrgCOi1NfRXpqRMtV\nFF3aPl6KmVXEuhReCOJH9caqfDALenNz4grPVrhxrYVkZ3QvYHiKboyHB2Vs6O7/oe49w+Sqrqz/\n37mxQld1Ure6lVqtQBaYnIVJQnJgbBzGccwYgxkbA8pkZEACZYNxwvY4jTFjj8MLtgWYYItkMBmE\nhHKDsjp3pRv3/8OpW90CPK/fD/+BOc+jp1td1dVVt1bts8/ee60V5DQD1PQ5oDzyXlhH/+FaeSds\nv7J6tkrke4+8crUk2H5lpa7TJ9nfxO+skJHYTiZLEk2dY7+0ShJsv/CdOep9v7+uZgYCw8Sg5P/T\nP7xM1t63QCWng4k/vU0kVnRduFAdt+Ya6R9Ks/mT16sZf75S2jOD/OSEf1fTH5ova89Zrj751Jfl\nlyd/T0279wYpFlMHiI1NXr5Kml/W4mgzD14oycz+W9fZ0xfLw2t1Fp5MsSTZfHKfRKLhyCu1Jn8i\nVJecRv67662nbQ6cNz/lwYWSYPve0+9U7/v9dTIS2xsuuFF1fmOljMT2cx9YrJJrN+OEr8uDVUmJ\nkWvWhCsl6Gjhocf06znvfdfLO2E7KbtM/9AyiVyj5lFw1OWr5aU73v563vfVVfLitw7EcTLR89+9\ndniPjFeaRoxlRqQsrX1RZ/m8UWxkYEMzrqlHLqN6XQ/3mxQIOHts+g4TYjdi8q9CrELA1gvqCMd4\nOF1asrgypmo5mAavQZ8MWp/XjT8vV9VBMRReM5iBvhTmKI+wYJPZBRVtzkOUFkxfB5rmdRWsQQ9i\n6Hu/g3gmQWASWgZRaDJYccmnwIssmqb0EsQGmZTPrkI9Hc297C9msZ0Q37MIAouDz9vCyy920vz4\nToIxTUhzHUYlxOgZRNIuyg+RlIPdX9VNqAZLv0GTZMxSrE2wTc3KVbGFVdaEskqzwumH/ceDWRas\nl/KkKtC7p56mSWWC+pid3Q00pYrEDhAZNI0a4tWXO2ju1Dr3u7vrOXXyFsLYZFchTz7lUfQdOtt7\nyVg+lhHxpDWJKFY0Z0vsHshT3JNFHezR5dYz6XtbiVsaMIplxLHBUESj8hhFD2vfIM1vdEMY8vq8\niYiC7C4IsuAOCIWxBmKCVQK7aJDZH9GwoYg3Kk2YNvDrDNK9IU5/gNeYIbaqo3qiparNsrzrZ9Zp\n994gI+vOlz73edHYnohram2YhLjT8b3loksGC1Xn7SslPiSuYRuomYUcvGi1bF80T02bs1oSbAOc\ndsFyebLqjTvyw6/n3XWQ7/jBMml83mL9t7WmTU39UOCss2+VxkGPGccuEjXXYftnrlFTf3WzZNNG\nzSbPiyx+csK/K02YWq6Ouu96yaXqAWr19c67l4jjhhzcuo8t8++sPY+RQX7mIVcJpkGcclAiPPz8\n12tuSY+9eLM659RbxI7i2nU885zb5NmHrlInfXqluFVsA3TesVK23fT3y3Ifefwr8spTU2D8MBCO\n/eO14ocmhUI9iVAa6Fr9sX+8Vl75pH4dn3v6IlFtk3juA4vV2Y/OkYfPXKVLOovnazG4apCfNXme\niGNz//pb1YwTbxIjn8Xap6WxZ439mmyaN5Fk4urwBaslwTZo1uvLbzH3fumO2e9YnjFCLYb37I/m\nqGMuXiXPf3+O+kcTmPdMoM+5PmMzAwyFLpEoCr5L8ytQaYLQhyhW2A0VxjQN0l3IUs45ulEYGvTO\nLhLFBvEWIb0hhd8o5A7pIXtvE15DlaBjQDiljPOIwdB4V48wOvrn5U6fVGiScgKUocsIQZ3Ca4oR\nQ1/gPSe6NGyO8RpMnKyF2+OR/2uageMr+AUHEWgbNUDZt+kpZnDNkPH5PnYV6gljg739OUbVF5ja\n1M36/aOrZhsmr+9rJT1uiNduGI3VY3PQqq3EoxqJWutRQQRKYRQriGMT1zkAiGmQ2l+pMkGrG1Ql\nRGwD04tRsSJyTSpNQmavYtRzioEpuoZealdMmbQHU2mD8dFNg7y4fTwHHf8GG9ePI9/Shz25h/29\nOdyUDjCFwOW1PW3MmLSBp/Z0knix93oZ3uhtpHN0D+Oy/USiaM8M8KIxlqH9dXjNERuv6CRsCknt\nbCK7Sxh931bMoZLWoLEtdv3TBLxGaHpZN7yCrNbKD1Na1iAx/w5T2jO2MCaH4UP9Ng/TMzH8mFKb\nS3ZPjJdXRCkFonkSYmmikorfAXT/Q+uV82+qZb4ff/JSaXQ0trfOnaOmzVktU29dJVSD1sjxv4TC\n/75xOsuctHqluN0GfqOwZZH+cL+ySs/aY2jznq2/uVYd/4VVUmrT2N5w82zV8eOlksqZHHXf9VIs\nO3R96XqV2ARuXjhHJWOfQZ35NmzzGfALzgF1955ihhl/vlLG53VvaqQxR5LZjwyeh/52kZT601g9\nNomOzIzjF8mDG247IECde8rN8qcXhx/roSeuU2dPXyyg5Z0frQZVy4uJXLPGpn1rD+LsR+eIqWI2\nvjaO7V+Zp0ZiO1m9/dkDAjwMz8k/94HF6vzHLpNKZPFG7wQ6R+txpofPXKU+9/RFkhszFgCvOWLy\nslUSNoWk/mUsr984W80ac5mYlsWaN76hZk2ZLwDbvjSJrbOHs/N1y2arI69YLWYylPQOYfqss26V\ndEbXJ0/5xAoRU+HlVW166uh/0xyKYy5ZJUaoPYTf/igHrvdEoLfMmJQVYCjBUjHlyKa3lKZlh0+Y\ndnAGFH5bjGXF7O7L0944SNEJGCymyNT7ZJyASBRDzQFhxSFKxRRfbiLjKDBA+VqTO/BNjCDSvrK2\nPikYEWTqy1hmTLHkEu5PYZcMyu3afQonJi6YBDmh/sH1YJoQRWBZtD7Vg//rwykXXWw7Ym9PPdGQ\njZX32atyjM4NUfQc8ukKg6TY011Pe3aQttwQg76rJ0tKKXJpj1JvBjGE1xaP55BvljB7CzpgVTyw\nLFQYoYKQOONiejq7F8NAOSZRysLuLeH2FnD9AKmvI+NYuINZvJxJabQirIvpPUZvYlvebEUE0m1F\nPeY1ZLN5jz6+7OnPk3Z9JrV3M1BJEQYmu4t5GurK1Jke4/N9tKWH2DTYQiyKproS/eU047L9+LFF\nqzvE8W1vsjNfz8Y32qDkYPVpUlW5RbFhQSd1bxg1PaPI1SqfSqq9BYfqRqt/LoauxSuV6OIolAt7\nj0tRvz2CtDYKz24ZwhgsETXVURqXIXQN/LyqMqffRXADa89Zri7624XyX6do+7ikfmyVtdxsx4+W\nHlA/PfaP18pgMUUm5fPSh29524d46pJVktmlCOu0BHcSQM85fbH8rVouAO1Y1XX1QjXt3htqkr1T\nlq2SzcuGA0Nsi57gGdGsntl6qbQ+1QN3zEbZMYf+dpF4FaeKbZcHzx82Oz/5wYUyWE5RKroc3TGc\nNR+35hp5dtYS9Vat/fOOuVHMAc2NmDXmMlmzS2f8CY1/5hHXSmKsoaoZhVHya79ft2mAjKPD1jtl\nvSOxDbrBOumexZJICgBMau/muDXXSP9gpqYQeecxd6tEfOze0/VzOuXBhdJfHvZsrSlqAuRCKDl0\nfWmBmnrrKjn0utVSWdBZU/Fcs1lP/iRM6JErqKM2vpooTx555WoRBa+snq0SbJ/yCT0++Xh1WmnG\nCV+X0rgML1RPbW9tTv936z0R6A0lGErYW8kxOjVEn5+msDOPM0mzW91IiLY6hDmboDGka2gUVibE\nMGMG+jMMDNRjBAp7XAl/DDiZgPrnsnhN1ccPdHYnkaJ/aloLYCkdaIJcjGOIPlXUlenbnyK9RzE0\nNQZTUIZgVgytz2E7KNNAogiiGGvcWPwteWj1KfVmaBw9SNFyyWcrDAylCbIl8ukKLekig+UUjhvy\n/JYOzjhkI37chGXERLFuZE2ZtIedfx5PVLHZstAm7G6j6UWjVotOxm7F0AQahFqpItUrGBOasYsx\nZiCIUljlmNhUmIEQ5MEYWyIadHXQrQuQwKTcm2ZHyQGBVCogM7FIzvV4Y18TfmhRGnJpaCwSRiaD\nxRQPRIcwNj/InnKOgu+QdzzG1ncTi8FQ4DIu089QkGJ3OU/KDDlp6lae8qaQ3WoTW+AMQnmskO7W\nxiBOIUZMGJho1ebdw4zCLQqpPqHYbmD4uu6ejGQmo2wYYBVj7ELInhPTDI1vwBmsp35TCRVB/fp+\njMESfkczxbZ3N9LP/MsVYhk5LvrbhaKxPZljLlklZtUCNL3VYcqyVRI0hnRdvED1D2ZIpkYSws/U\nX90sfsmm6wtXqU3XzFHT5g7r0CeWfQ89pjP6oQl6FDDRLH/l/JvU0X+4Vvq2NbJ9wYFsyqTROnP0\nV+T+vd/Wt1WxPXnFKqFVsf6ji9T7fn+dJNiGYcJPS7rIUzOWqoN/fZP85tTvqC8880XZPtTEs7N0\n43bavTdIa66gse0Km57X0gTHXLxKwk9OBnSQe/kbs3Up6vxRtee263QtbzzSUWnooIaarIQZCAfd\nskrig4oEVWxvn38goWjit1dIZkzAcWuukZzr8ehZK1ViM5iMVybrd6d9+4DfnVTF9gVP/Jv85tTv\nqOS9dIyI7f8yXJLadPUcddTlq2X9LVplVEXU6u/T5qyWpJeQlG3Wf09r8Rs+NdewkVLD65bNVtM/\nuEzsQsjDfxk+ecS2yePVID9r0lxJsP3XX/wvUa884+F50uhqTRvHiNhVrKdvzRjS+zS7r2FDAaMS\nsOVTjaR69PHeqnq+jn5KZ3n7TwmxcgGGGaM21GH41ekMQ2fzlVEx4gjZN0xS3UK5VXvMeuN90vkK\nKSdgYDAD+3VQkMYA8XWGYvVZROmYQ+7Yh/ICCEMQQUQgFrbc2Y5fcDDTIeNb+ih4LiXPJuMG9Gxv\nZOqhOxnwUhQ9B7/qlzptzC4G/DRBZDLkOdhmzFDZxXm0nsFJMbR6xEWLQ+8YJKxPEaUsxNJ6MbGt\nNMXfUZgVwSoEWAUfVawg2RRhnYM15BE0pQnTJmHaoOdwk0p7iN1vYpYVUUYIWgIwBHwDIsW0w99g\n074WokgxtnmAcmDjhyZ9+3O4OQ8RxdmTNhLEJuXIpskp8mLPOE5r3UIpdiiGLrvLeQ7N76Hbr6Mc\n2ewYamDn9lGk9lik9+pGabonwipGiKUwvYjYMiiMdWjYUKD/kDpKo7UlowrBKQphShFk9Ihaqk/w\nc5pTUbc7xM+blEYZmgHrahaumFC3I8IZijErEUHOeptv6v8ktkdK8iZlnBM+v1Ke+dlcde5JN0mC\n7c1XzampJnbesVLeiu0k+L91dX5jpSTYToL/QTevFm+8z0iWaOftemokKQslvYFkM/l7r6HjR0vl\n72F7+1fmqRPuv1qemXmrShqeIwMjaNPuZ2beqo66fLUMThrWrp857ToJ61M1w/SR67QLlsvjv5mv\nRjZpk3Xe0TdIgu21v1+gDl60WkZiO1Gd7PjJbdL1heHAf/Cvb5KE4HXC/VeLH5q8+KFbahyDS5/7\nvASxyQ+P/7G67PnPyEhsJyYkc1/8pCT8AdC8g9Qe6++qo5557m3y6J+uUueedJMk2F63dLY65uJV\nkmA7Kb2c9OmV4ueGSzQnf2qllEZp8bpps1eLEr0hJPwHGG5c/733LlnvifFK1wyxjJgdQw2kzYAg\nNrTgmCeoSDD7Sxi9Q0z58T7cPj1DX781YvwDEUYo9E4TVCoi9EwsK6J+i566QYHh6SAf5yLEFAqT\nQsQEZ0AQU7DTAdmUj2kI0udgeIq4LkJZMUa62sxNCSpSqCjWQd40wbZRjgOGIqhY+n5li+5Clqiq\nBRJGBnZLmUHfpd7VgmeOExIGJmFsYhsRQWyQc30aUmUas2UK44TG9Qr2u6hUxOtXZSi3pXDf7CO1\ntYf01l6ym/tI7yyQ3TaEPehj+BFR2iZszRNlHQw/wm/OYHgRYdogTCmyu4XcZqs6wQJBg7YqM+wY\nc8ikbpvFvmId3r4MoWdR8FzKvk3a0XTj8c392HZEJIpNAy10V7I83z2eGe3rKcUO+yo5BoIU7elB\nuv06sqbP9oEmxtQNYOZ9KqNDIkeR3+5hFSNS23sw/BhifbqyyjHF8RnS3SFN60My+2OK4xR9BxmU\n2pR+rqEOfGFake6LEAO8nEJVa/IAmX0xhg+lFpNCu0VhrKNPAO/S+svZK9THn7xUTrj/agFdxjnt\nguViecIJn18pZn+JB168WU358T6O/dIqiVI68Xortrd86lp16G8XyfEXvn2cbtuVc1WC7WO+rG/f\neP1sZacDEuOLid9aIduumKu2XTHM0E2UG7dfNk/NmjxPQE+MjHzsiT+7VRDY+qlr1V/OXqGiWGf4\nz31gsbJbypz4wFVS7+osP6nlJ0H+5AcXyvSH5sszM7VxSoLtzttXysSf3SqvX5XhocevUzMPXigz\nD1ogMw+5qva3H//NfHXOabfUgvw5py+u3fbACzcpw4tY+/sF6oTPr5TXF81WXV+er1RcbW7ftVw6\nfrxUur5wlUpYraBZvBN/pmfmn5l5q0qmkMY393PY7xZJJIofHv9jNePPV8qdx9ytEmyPdJrq9rVu\nUvJ+JtgGXVsfee3OPmOJJJIFxfEZ/vbjOSqRUyiOU/z17rnq2X+fo476mu6Z/PUXc1WYVpx2wXKZ\n/qFl4uUUL905W73vq6vkldWzVWafPsmUWkwS9u0/iu33ROnGMmIsFXPUqJ30eFn6ChnahyLCjIkz\nGKH8AERQQcioZ/po2JLG7i6x/4Qm+g+FqCmAooXKRJR35PCmQexGpPaZGJGmQQPY/SbxhAqmp/U+\nDF+BFWMaMa3ZAn2VZkwf4rR+4yRWIArDV9S9qXSh2LHBD8CyII5RlkXjky59J/swaFFyXdxUgGVF\nVHyblvoCPU+1UTf9TQCUEkwr4tUdYzh76gb6KmMIY4P+SpooNph6Yhc79k2k/fGYPac4RNmYHbNi\n0oe1MfFX+6iMryf15kC14aj0TH3GwiiHiGFSanNxBsIa7T/VExBmTYbqLOwhrT+jIki/aVEeH5Jt\nKlKwXSqjBG8wAwLmXpfu0EBZMdNad7N7i67HR5GBrWLC2KDBLTM+20+dWWFbaRStqSH2VPL0eBl2\nFeo5Z8zrNKTKbB9oYnxLH5VGC+lQbJ3SjNNnMPHeOtzNe5FMCieMkIN0jyDMGJjlGHswouUlIbOz\nzBszchTHancwe0gwAsEsxyjRNerI0K5hzet9BsdrSeUwo2r/guDdO7V+YO3lkrc1tkGTkNqHXMKM\nyZO/nKdmTZqr57qDsDYpM3PadbL2lbfX5td/dJGatFV/wA+5YbWYPqy7bbY2o/6yDtrHX7hKjrmk\nyiKdFpNICW//6rwaGSppRI5k3K7Zok8da94Yrr/PGn+FbH/z9loJSTX5uCmbI+69QYLAoqW+SM9T\nbTx9o/a/9UKzxvy9+Nl/kadm/LT2WMf+8VrZsmC4BDNS+yeZxnn/jNsOeKOM4O1d9GTkMjkFpPq1\n5MHRl66STd/V16/rkvk14+3Y1iOeW+br28y9Lh0/WirKijll6lbuPun7KhZFYk4C0OCWuehvF8oP\nj9cer5e/8GlJgv1PTvh3BdCQKgN6AwQd+Pd9rPkALf6RZZeRrGCAlpdCZpx4k7wxI0c4Vmq6/i/f\nPludMWupJNiG4WGCv95dLdEoajo45eZ/LFd/T2T0dbaHH5vYKmbKrEyDAAAgAElEQVRPMU95vw44\nKhTcXQU9V552kbRL2JjG3jPEjvOa6Tk6Ro0vgQCWUN9YJLXPwPTBaPYpj9MZOTEoz9ByxmaEiqrH\n/AjSro9Swut7WolTMWFaB3jLjnDSATgxYgttTw5qmd1YK9MlgRbDoPXuV8nkK4glxIG+pCk7xDBi\n3X84UpdBQJNLLCtGBLYOjWJ0poBrhaSskHyqQilwMM/oZf/RBu1PCNaAiXIiKlMrrL+iCXdPEXEt\n4pRNlHWqG6AOelHKxCrFlFv03wryjlbpLEXkdugsOfemrovbJcAQKhsaNKNYwFxfh1nS/Qh3p434\nJt2VLGIKU/L78co2+7w6srZPW2qQznQ364vt7K3kiEXRlhqkFDooJbw6MIZ9hTpaswW2bxnNkc27\n6BvKYDZ7eC0R2z6aY9NXJ+jr6Pmk3xwks34Phi/49SblVhuzIgR5h9HPBbQ9EzH2oYGqwYzGTaXR\nws8pnCGhfouPKMh3+TS/MkRuR0iqN2bUS6UawerdWH+cfoe65+S7VKJQWN6f4dE/XaVqx+2qA1YS\naAF2nNfMxDtXyJT/vEU6frRUOn6wTI667/oqIUqTsMrjQtbdNltNvHOFKM+g8xs6c/3bj+eoyNXl\ni7Trc+IDV8nUX90sE7+1ohaAasv5++NIsyZcKRgay4f9bpEk2N5wwY0qZYe8/rEblKGkZqby3AcW\nq0Quo/PuJZK83jMf0RvZcx9YrKY/NL/2OtqfGI7pE392q3R8d7m4e4okI5YAiHDOabfIjBNvkiil\n38REdhn0OKhV0tHwhe9q0thhV6+WaXO1rkyiDYRo0/TEa7brXxeq7Z+/WnVXsnTctVwePWulStix\n5z46W3558vfUD4//sbr42X+RD6y9XOLq65rxZ33aOf+xy2Rfoa6mWQT6hJBge+qtejOeefBCmTX+\nCpk5TfcCEl2iEz+3UkZie/NVc9TYhwY45uJVctwXV8lf1ixUf75/oXr23+eo4y88kCULkNsRcuJn\nV8rZ0xfLP4rt90ZGr2L2VnK0pgr4kUnDOouewy3qdkcY/UNgGkh9Fm9UGnvQR1I2XqPg9Bt4totR\nMXB7DCqNNnFaE5xSaZ/2tm66Xx2PZCIyjWX8LXkMQ2qSuQOHxtSZMRXfJgxMxBTi0R6WHWFZEY4V\n4fWncMYWUa9thUwa6rKAngenWsoxshnKRQcswey18d2ITL7AYDGlX0+2TNFzaMqWCKMMcawZh290\nN3LU2J3YkcW+oTrG1g8QiyKX8igB3UeajHoxpvsol6jNh1TMhjl1HLq0H0Mp8JUmIhkKRDDLIaIs\nrIqeq09AYHgRdhBjuiZh2qZxU8TQWBOjYJJ9Q1GYYNY04lP7FH4DBHkBgU07W1HpkBf2j2PcaD1b\nH6OwVcTa7ilMyXVzUtM2frHpWD40aR2Tcj28GrQTikF/v5ZBnjh5L+XIJpv2UEpwGofYX2ohtmDz\nRaOJHKFxnWL0H/oBUJFgVbT2jV9nURmlcAYEL5cn3RdTGmWw80wbAdL7wC7FVTmIZCwzptJo0nOU\nEKbT1G97OyPxf3pd+tzn5bvH/kw1rBv+yM2acKWseeMb6rxjbpQHqk3K846+QbyPN+D0G2y87LoD\n3JKmLtF67If9bpG89ulr1FGXrxZ53zC2D/qvm6TtJyms0RYTv71CRnUOY3v7V+epxFzj0N8uEseK\nIMzV6tYzWy8VVZfVmDaUHhEc+zWZNeYyeW3XnarjB8vE7NUJxLOzllTr2gfKOaz7p6+rQ3+7SEzT\nYuqvbpajxu7k0bO+qydG/nylKGXVxjG7jzRryovbP181/EgtlUOX9nPe0TcISvFg9Zq8dT3yyNVq\n+oeXydoRLktnnnubqNE2iWYPQPaN6l4q1DakqUt0EO74wTIx0q10XTJfHbfmGhlXLb8kBiNaMVNv\nVof+dpHMNz8hk3IpTvvTAsm7GtsvfuiWmizE+35/nWz51PApbOI3V8r215eqzm+slG1XzlWzxlwm\nHNfByf+8Qp7+z3nq5H9eIX6dVcvM+47I8/z356ijLx0uzR0xb7XkSzEja/Jnn7FEHh9xUngnVvE7\nrfdERh+KgWXEeJGFF1iMeqVMdm/M0FgTTIO4PovflCZKmZhbd7Hz7Eb8thC/w8OoGIgtVFpi/B1Z\norT2QQ0Ck/bMgGZGpiPymQrtR+0h8CxKo3RQqBs3SM71aM8PEpctsAQnpTV3TDPGMGJUYBDHCuW6\n4AfE+7p1FhpG+qthICK0POCCIahQIZHizb2NmGas5/tF0VpXwDVDbCsi41abxkpoSw3imBGOFTLk\nu/iRSVOqxMc++AQqgv6DDcY+FmL02FrHJ1Ssn9eI0V9AeQHimhheCJG2PMRQuP2BtkSsxIihyzs6\n49fet0FGYRd1vdQIqzaMJYVfHxNm9GSP02tg91pIr25Ol32bSmjx6t520lbA0/sn0p4ZpM0dYChK\ncVTbLrpKTbxRbGRUukDKDDhp8jai2KC3mKHXy3JU6y6KZZfewSx1XQbumCKRK4glDE6G1+d18sYF\nMbvOi9j1SZ+9H/Hpnu5TadGN556jhP4pJv2HCpEr2EMKqyx4OYOhCSa7T1OUWg3CrIVdjGl5DkxP\n2H3Ku5/PJHouL90xW538KZ19J2WSJMjPbL1URmJ7ZJDvvH2lRGn9mQ4CU5N5QqHriwvV+o8uUlvm\nzVGBZ7H2vgXKCGH7V+apkdju+MEycVIBR9x7g6z/6CL10odvVl1fWlDTlh+J7TXb9FQKhkEy/tj1\npQVKhVoeoPPnS8Q09WngxAeG6+rHrblG1n90kRqJ7Q899jU5+g/XSoLt8x+7TJeqqtgeubouXKhG\nYnvG8Yv0HP2xi+TcU26u/Z0zZi0Vs3LgaSRKGTUDkMSD+qU7dXDfvHCOShrRm66ZU3s92z57jZr4\ns1vl2VlLVCU8ECPtGU14mv/SJyTB9neP/Zkaie3j1lwjfzl7hfrA2strrOOpv7pZjrxytbhjinTe\nvlLE0k/79XmdPHbvfPXUf85Tk+5ZLAm2J6/Qz/VvP5mjDr9qtfQfKrWm+asrZqsnfzlPJUEedDlo\npKzFO3kGv9N6TwR6S8VkLZ9i5FCfriBKT5XYJaF4WBt+S5Zyi03dur3Q2kylRTCzARRsrVbpK6zR\nJcyKIkrr0oRfstk+2Ezk6utgG7oWr0yh/1DI7A1wrQjXDMlYPpgChpBJ+aTskIwTkLZDjJKBP+Ci\nMmmwLZTrIoUCEoaapaoUSinq7/4bViYkdoXYMzHtiCAwiWJF3vHYuncUQay1cSwzwrI0L+BP2w4h\nY+lmsB9a5ByPSmSxYWg0TafuwWuM6T7CpuU5UBXdWyBSrF8wBlWqEKVtVMlDxTFGJcTdV8KoRJh+\nrBvZlYgg72iFzkJIqi8ishWRS1U+QmGVtGQCoj+A6b2KKCW0/TUCS5BYUdhbx2Axxai6Ij3lDLYZ\n8czOCfxl/1Se6e5gMEhhVev3W3pHsbuY5+mtEwGoeDbl0OaxLVPoaO4jjgyc8/bjVywmHbkTyYUY\nU7TsbUNzAXPAIvNcBtOKUIZgeFrPPr9Z1+jrNyoaX1XU7RScQSF29KRNPMqnOD5m5xkWYur3vWFj\nkUm/6H4XUD28kuAGumGXyAdP/+AyOfNcXZeeNXme3L/vuyrB9vbPX60bp99YKVN+ebNsu2KuitIx\nnXeslE2fuF6NxHayEqGyv/14jjr2j9fK38P2CfdfLac8uFAA/IHq6OkIbM9s/6rMGvs1QSlmjRl+\n7lvmz1EJtpP5+LzjMfmexXL2o3MkKd2MxPbvT/+mMg3hqRlLVc7xSGbUN3x9tvIaDwzWHd9fJkSK\nNdtWqQTbMw9eKAm2zzvmRgH4y5qFKrmGybILOiM/9iItCXDklcNaPodds1q2XTFXHXL9apk2W//8\ntAuWy8TvrBCJFR13LZfBYorpD82Xk6vX5ZmdEwBYftSvVIJt0COYu4t57jn5LvXsrCVq6q9ulnJo\nM+kXusG96RPXq5e/MVu9/rEb1LYr5irJhRz0XzfJ1jlz1VH3XS+TVq+UrZ+6VplWRNcXrlLGsJoz\n626brZKG+XFfXCUnfF4H/MOv0s85aSyPDPwzD7/mf09G3++naXaLDPop3tzVRJgxSXf7tD7RQ++h\nNpUmi4bn9rL3nDFs/NdmonEVHCfUtWUgzkaYphDWxShRqEDR0KQJE2EGooKFH5nUOxUyGY+w3WNo\nnI1jhRR8l/X7RuvznW9QqjhEsaIpXcI2I8QWsltsHdgNEySGWJCBQaTiIZUKIoJZnycKDcQSjIIF\nogiGtC6MUsK4lj52D+RRSggjU5cwrJBMyuPZpw7ioMb9WGZEbzlDJAaVyGZCro/cdoNKa8xAp0Hj\nOoVRNsEURAnrF4zBfnkrknYI83qsUpTCLAeY5RAjiAly+rhtlgJUEGOVIlIDMZl9MVZJz7SneoTI\nBbGESluE3wj2kKLQZmKUDA6asJfGMQOEocmu3jyxKPYM5CgXXYLIpOC5OEbIszvGc3j9biwzoiVd\n5PAJuylWHOrrymRtn6hssnF7G0oJE+t7aWkeYvOmdiaN34835CJtHoNDaewJRYrjYrKPZnG3pajb\nAaNeDWna4JF7MyK/PSTdGxNX5+qdQaFxY0jbGofsmwap/fpzEFsK5Yd47fl3B9jV1ewWa9+HGZMn\nfzVPzTziWuk91K4ZSSQ1+s0L5yjH0UFr4rdWSIJtoIZtgMfPXabCTDU4cuBmAuBYIfefcbv6zanf\nUSid+SfYfmbmrerJGboBmt2i8XH//u8pJOb+3h+o+3d/SyXYXrPrTjWz+RI9ufPtFdL1xYUqkUMA\nXeoY19LHw2euUkoJx/7xWkmw/frHblCTVq2UZ2ctUSc+cJU8+P7hRu+nnrpEtn9trpq0engqpuvi\nBQpT6Pjucnkrth94/utKlKoF+6RRm2yUKog566xbJTWgf26VhBM/px/7tSW6l7Hh5tkqmVt//Dfz\nVYLtrkvmq40fv0El2AYoF12mP6TZrQm2k/XUjGEph02fuF5lbZ+tn76mRnz7+JOXDr+mL1ylvCG9\nmSbYTn4PtKzFaRcsl7dO7MQmPPMz7WC17rbZ6qTPrJTsmweG6/OOvkH+UWy/+2daoLuUpT09iBdZ\n1L/gggQYXkSUT1G/LWLXGYq+Q9qJUkKUi0inA+JYQTUhMLIh3q4sZkuFcMBB2ioYRvVGBSow8EOT\nGIVlxGRyHj3HW4wFyoFNGGozjtgQbDtCRDHgpegeqINmj+aHbZRSiESgDDBiVMpFPA9lWWALODb1\nT6foPzzECBXBgNbb8QMLL9Jjl+WSQ9oJ8EJT1+ltoeTZdLxvF0+sm8rEifvY2VNP/2AGxw3pS6ep\nO28P4V/aqLTGKDGwihB7FlG7B0M2m647HDGEzvs8zFJEnNFiaMRaMtgqh6hAi6ElAmMqFm3Q4mm1\nw0y3EGZNKu1CapeF1xrh9BpULEXnMW+y5YVxmnBmVLN7N6TUnWFMRw9dW1vJtw1RiWwmjuplr5en\no74Py4h5/o3xpFIBUax4fU8r6YYKp47fxqNbpvLs5om0tg5w6pEb2V+uI11fobI3i1FRWHvSkNZq\njs0vx6T6IsxKhNdkk97rEbm6p5Du03aFZgBB2qDSqP1iM3tj7GKMXQB/VIbYfvfymRPuv1qmNQtn\nPjJXeu4dR4NU6f5VElDnHSvF7TEOYFBuuGBYKKvr4gVq4jdXyuR7Fsv2f9MTHkf/4VrJOgGodrou\nXlAVLLuzJlymp2mWqsTA23QjJv7sVsnmNbZPfnChdA/UEfom2269Rs0ac5lIGHJ/7w90CanpS1L7\nvuXLgmNz1NdWixyuY1HHXctFhQp3dIm2hsGaqqWIqk35gK5tb52jM/+UNdwnOex3i+S1j9ylTn5w\nobjdbfq+Va/arouGSxGTi9ppq/M+nfYm2D73pJtEHN2ASjZKsY0atmEY28kSRyuDJjP2h9y4WrZ+\nfU7tPRBD2H7Z8AbW3tpP19ZWYJhI9Zm/Xix3n/R99fEnL5X/OuW7tfeiUNL3O+eI9QAktyX3T0zV\n3yq7cOJnV0qqL+LxPy5Qp358hZxz+mJ56LFr1RkfWCbPV0syRlR1kapO3CT8i9PPXy7WqMzbHKf+\n3npPEKZOeXChTMz38lr3aPLfzYNApmuAvqOayHWV2XFmliAvhPURDe2DZFyfvb15oooFMWSbyhiP\n1zN0mA++wUEH79ISA0ZM76PtFKf4pBsq5DMVBkspfN/CsiJOGN/Fk9smIbHCtCIMQ3CdkERJsxTY\nRLFBy0WDevInrs7RxwKmAX6ARBEqpXdslcnw+tJRWJvTyMFFgn1pnNElprR2E0QmthlR8F32DepZ\nXMuKaMqUSVkBW/42gX8+73F+vel9jK4fYv+QbmTmUx79942hMEHXsvObDbwzB6nsrEM1e7q3oAS7\n2ybIR9Rv0LZsbX8tIbaBVQgI62wMP8avtymMsajbpccvY1MRpQzcvoDSaIfiGIMgC+XxgSaaDZk0\nrlcMdoLpK+xBzcr1G4QopW0J3UyAV3SQiknL+D5yrsfB9fvYV6ljTHqAXeV6dhfzdOT6eHV/G6YS\nKr6N71lMGK1VAXfsb2Ry2356yxmKFQeeq8dvEMasjeg53CLVrZuz7qAuy0W2Jo0VxhmU2mOMQNH5\nf8qoSAu8FcalSO8PKLfYpHoCiu0O/6/63f9/rOkfWiZrqwJWJ352peS6yjz0+HVq8vJVEtZHJKOO\nk+5ZLFHFOoDsBNrIo+vS+erEB66Sp8+7TR12zWopTvEP0DgfafwBegLGtCI2f/J6NVJg7cQHrpIo\nNnh21hI1a+zXZM3Ob+rA3nyJ3N9zl5rZcJG8FdtrulbX6tAJtjd+/AZ17qOzJWliauPwG9UR994g\nI7GdjDcmhLHk+/77xvDy7bNV5+0rJb/Z4KVv6kDcefcSSbDd9cWFquO7y+Wt2H6k2ow95/TF8lZs\n//l+fU3OOutWSbD9ysrZquP7yyTBdkLcSmwYD71utfgNUpOUGLkSSYfk/5c9/xl5K7ZfHSHqNmF0\nLyOJcsetuUaKFYf1H12kJq9YJWPWRjVDkiR4n3bBcnkrtrddMVedc/piUVFck4k485zbpNxi/0OM\n2GS9J0o3tqlHpPIpD7fX036XjkWl2WBwUhq7BGFjiJX3ce2QQsUlDg3wDew6n/pMmVCzpTHrA0Zn\nBmnJFBkopwgzAoFB4FuYRkza9YnKFu2Ngwz6abIZD6UgKDnkMh6WGVHn+kSxQRiZNYclqizYA5ZZ\nHWuJ9PMPd+wk9k0tUbAxizgxXm+a7lKWyflu+itpvEj/jlI6q/Yik41vjmbcMbt4ct4JTGjqI2Pr\nZnBfTx2DFZe2j3aR69LuWcVxQudl+xE3xtyRwkiHqLJJkI+o22bhNUC5LWbrx1JYhYDIrdb1Y9Fl\nm/6YwliLwhgbI9I/M4KYzF6f+q2h9sMtm6iSyfiHIxrXl8nsVlgFPdrX/FpI4zqwSgbmbhelBMOJ\nQGD/zgb6Smke2nIQ+0o5+oM0bakhotjgpT1jOLJ1N8WSS+BbyIDDQDlF2gpIZzx2D+ZpSpcQUdhD\nkN8M/VMs7ILWvwnTikK7yeB4Cz+ns/fcGzHNLymyOxS75gZEKYu+g9OICcV2G69BURjn4OfevRh/\nxsPz5DN/vViTpX6/QL1/xm1y3jE3SoLtaXNXS9gY0nXJfHXC/VfLtHtvkDg06LpwoZryS92APORG\nXaNNjDBaMvr4/9qS2YrgwI9wEuTPf+wymXbvDbLtM9eooORw7B+vlVfOv0md9qcFAtSwPWvMZYII\nM0d/5UBwvwO2J/70tlodOsE2wOR8N6c8uFCSxuyhv10kCk0Oe/D931DjjtkF6NHFJMh3/OQ2WXvO\nctX20S6Ouny1iCW1IN9x13Ixd6ToumiBUmX9PLouna9e/sZslWD7kYevVmdPXyxnnXWrPPTYtWrt\n7xeo5++aoxJsg27aPvLI1eqvv5ir6rfqE4VRNum6aIHaduXcmmiapdtDNL8WvmOQ7/je8gOCPFDD\n9lMzlqp7Tr5LHdm6myn/eYtM+sUS2faZa9TIIA96UqnW16hiO1lhWnH0paskwfbT/zFX5d7QQf7I\nK1fLrrlBLcif+LmV8uhDVymv4f8N0++JjP6TT31ZKqHNa7vamPA9E7u3xNBB9diFmP4pNgNTYyRb\nfaNSEUpBNGDT0tFH30CWOFZY21OEHRWyuQrHtu2gHNm8sqedYGOeMCNIKuLgqbuwjJj1b7Zx6Pg9\nDHop+sspPM/G70nR1tlDFBsYSvjo+Je4b+c0AOq/5EEY1iQPtARCrMs4UYSIoJQi9jy23HQMsV0d\n/WyNSO01MY/p5+i2Hby6v51CycUwBMvSkwkAXsWmuaFAZkUDQ3MG6emtw3IiJFbEosjXlRnc2IhV\nNAjyMW63QcfK59nwzWkYQyZqtEfc44ABE++NcPeV2PTZekwfxj/koWIhNg1iWzHYYZPdqz+8kaNI\n9YSEWZPU3jJmX5H1s0eReVNPJTVuDMnsKlMenabcbGJEgpc3yO0MtaPTkSbZXcLAZAibQrCEMWN0\nlt5fTOPaIY4V0ZQu0eCU2TbYRL1bYcBLUai4FAdTZPMVCv1piBVmr43bq6jfpksvsaXw6wwGOxVW\nWWveIODXK4YOCshutWl9zsMIhcg1qDRZWBU9fRTbinKzgTugjeSTiYx3a035z1tkwvdMHnnkapWY\nZR91+WoZmFo1ta5q0E/6xRJJsD0yuHT+fIm8FdtJ4Oj4/jLpuni45FGz/Lv3BhlpXXjcmmvEUMIz\nM29Vpzy4UJ6c8XZt+FpG33yJEEXc36+FvGakPycPlv9DZ8AjSiCg5XxHCn4d9rtFkmB73T/piaJE\nCqDz50skwfbmf77uAJ38ztu1QueGmzUJLMF2om///plLJcH21rkHOjA9+tBV6uhLV8kLVdLUyf+8\nQlI9IY8+9M6ljdM+ulwe/63eOBPp36MuWy25nSGP/3a+OvjrqyXB9pYFc1THj5fKmDG9B9TnQWvf\nNDhl7jn5rrf9HS0P/XXV8aOl0vWvC9Wh166WBNuP/Z/5B0gRH/PlVfL89/77U+epH1shb8V2jUT1\nf1nviRp9k1PitWIbxqYMYvgYgyUqDY1EjqLcApINsTIhAmQzHoO7ctiNHpXAoi5bofhaI0FOkNAg\n4wSMcgoUI5dywUWaQpRnYOYCvMiizi7S1jKApWL8yCSo6tBjip7MqQqsrSu001dMYxhCvVT0dA3o\nOr1pQITOdkwTFUXEnocyTSY86LP1EyZxSWFUFCqEMDTp9zOYhqAUxLFC769KN3zdEFMJu05zSYUm\nY1v72bGxFbEFK++TdgLyR+5h8Lft9DeANyrm9aXv49Bv9LH+a/WYe1ykKcAYsOmaaSFNaQ760t/Y\ntOw47N4yXksGsQwMPyauMmMBgoxBbNvkNxcpjs/Q/cEcB/20QJSyKLc69B1sYRUdjCAm1a+p1y0v\nFimMT+MUIppfBT9nMPpZvSFXmoVdlVGobIid0kFeKWHLvlFMHNVLc7pEygzo6mmi0pvSvY0nGmgs\nitacLwuZvRXs7hJxWtdjSxNymK8biAGVRgOxoGFzSO5NE69eCOtMgrSBXY6xPE2EC10DpxjXJomC\nzLsX4y997vPyWl8bm/95uTrz+zojfvKXemqi3ALbvzZXTb5nsXR98Vo17d4bJBrI0XXp/JpDEiSe\nysYBfrMjV9fFCw6w+bNUzAn3Xy2vnn/rAfd3zAhDCZ97+iJ5csYP1eH/50aZcFk/xDFJ6eb+nmrA\nqmJ7ZsNFcn//D1US5DvuWi5di+YfYHf4Hyf+sNYPAHjtI4v0rP+Ir7tO0yWgsa39PH7ushpzNe0E\nTH9ovgz+tp1t3xoOWl0XLdC9hmqQ77xjpTAC28zV93v/jNtEHIMzz7lNXnjoKnX6+cvlsXvnqwTb\nf28lQf6MWUvl2TUL1TGXrJKW10oUxqeZ/uFl0pwyDmCzmj02uyqjSLxeQZe/nj7vdnXuo7PlA2sv\nl5QZsG5Pew3bda81wD9By1qbkx9YKetHKISed/QNkpqQqz2fyNY3nfbR5RK5Bk/do0s5CbbFUDzx\n63nquH9dJU4x5oXvzFEnfXrlP5ylvycCfSF08CKTlhdiYlvhdzRTtzukf7JNkNO66SKKaMhmcNAB\nNybekaE0xmBy2362x41IKgLPJOd67PVyuEZEus7DsxxUXwpBN15JacDnnTIvbZiAXe/hOBG+LUSi\niGKDereCrWKyKZ++daPAGoIQiCKUZSFRDCMZaaaJ4bpgKKxHnoePH09sgVlR+A1COODSn09TCSwm\nt3azea9W6BMBPzQJQ5O9vXnCDh+vq56hZp/jjt7Mpp4WOht76C7X0VdKM3Syh93lEqW1Ts/2jzQz\n9SdFNn8qjRqykCYfY7+D2u+w7cbjyexWNH9nN13LD0YMsAE/B3YxJKizcIoxAxNN9p6aoel5g7Zn\nAqTK1Ezv8/GzLlFK+2CqWLs5DXWksUsxfp2J5cVk9oa4PRXcXoeew128RovYNgnrHPobbEwnpj5f\nZMueFkwr0ubroYE5pAWojEi7fQU57QEQOS5uXrtnGUGM2+tj+FrQLXIUsQVe3iTIQqqa4TuFuCZq\nJgqMSItFWRX9M+Nd5Esl2D71YyvEshVnn7lEHn5UB6+N1+usOBErG9yjg/yklatk69yb1LmPzpbt\nfx3P9qvnqo67lktifgHUpIO3fvqaqiH3CnXBE/8mPZUsfzlbjzBO+eXN4jgRxf40Y8b01rD9Hyf+\nUB235hqpbNLYXrNNyxwkssEzWy+VJJNPJm5qDVqByctWydYFc3VvoTlg/PgenvvAMjXzL1fI/Wfc\nXgv2oGf+QVt6TrxzhRjNDQC1fkSSIU/cc6u81T916k88uER/L00+id0f/zJ8fYOcxRO/nlezI0zq\n3gm2J35nhTQ9b1C3J2TtfQvUWWfdKo88oh/n9POXy2NrdFC07UoAACAASURBVC0/wXaiOnnaBctl\n+geXSWLKXfeG4uXb59dOHnFDQNcXblNH/+FaeeGDq9+2AU9dvErWLdPv77M/0no2J/zLSnnmp/rx\nH3jhJpXo90z/8DJ56T79d5IN6KTPrJS/VpUqtfvXfHXiZ1eKYWpSIPC/r0Yfi6Frs1VFwzBlEmQM\nTd5xBFU2iTyTTEsR3AgzHXLSqeuJPJPt3U34zRFGNkSFirQV0J4aJG+VyaZ8cnVl7II2Ly5UXGJR\nFH2HtBmQbi5j2zq9zdSXMavHzRhFMXJwzIj0HqXJUfGImd8qE5WqYxJQq2ka6TSGZ9T8ZmNbSO1w\nqIQWdSmPgu+ilM7yk/p/FJrEkSJTX8bpN2hrHuDVPe34oX7MvFvBMiOmjt2H26+I0wIKKm0Ru0/N\nMuGBCBVrD9vY1QQovyWiOC5m+2ATYUpRaTTon2IT1gkqFKxihNMfMurVAKfbpO9wwc+ZelM1FWYl\nxKoI5eZEFygm3RPiFGKCrKFd722FXQoxiz72kE/LCyXqt8Tk3oCG9QprvwO7UvTurkf2ufi9KQBS\nr6dI7Tdw+xTEEDl6A4otqkqVhnYBa3LYdVqG/ikO6a4h6nb6pHtj0t0h+TdDrIou78SW/p3QVfg5\n3cgaGq9tB8MUlFvevYz+P078oXr6vNvUE7+ep8RSPPzoMOFl4rf1144fL5VDf7tIcCMm3bNYTjpV\nT28k2O68e4l0XTJfpasObEAN24fcsFqMBLdVbINuim7+5PXqtY8sUl0XLlRJQP3TmavVJ5/6sjhm\npOvRocb/SG34+/d9V81s/6rMbPmy1DL86ur68ny1ZcEcddAtqyS2daM0MTxPgnzy90Fju/PnS6Tr\nwoXK6TcOsBlM/FuP/sO1kmB74ndWyMRv6X8PPXGdmv6hZdJ5x0qRiv4sTLlNE4wmflNns0/8ep46\n5pJV0j/lwOz9yV/OU+uWzVZOt8nz35+j1t63QJ1z2i21IH/iZ1fKY/fOV9M/uEzOmLVUnv75XOUU\n4tpIZmQr1v5hgUrkC16+fbZK5toTbE9auUp6d9fTeftK6fjecpl8z7DwmtunSGb2YRjbI7PwXadl\nAEh3DfH+GbfJqR9bIdM/uEymf3iZWJWYUz6h8bG2ugk8/fO56pmf6n+JeN0/ut4Tgb4UajncyDVw\nezyU6GO6n9dMU6fXIFNfJgxNMvkKakea13tbMZyIeHuWTEuRozveBIEh3yVnVshbFcbl+sm6Pqke\nIY4NbDOit5LVht5KyKZ8ykV9pLSqTD+n2hjuGmwka/uk90utIZUsZVl6pj6sip/5w8YIEkXktlTn\n6QOFEShS+7SLloiieyhLsDdN6JsEvkUUGUS+gZsOKBddpPqOuI/maasfYnPvKBqcMse07qQc2tjv\n78Ya1HcSUyi3x5RaLPIbDVRgIG5MlBLcfXrefvdrrRx2xasMToF0d4xZUvgNNl6jxd5/q/DmOSa5\nLsHtM9h9RkzPERmMMMavd3AH9esO6gyitEGYMSiNMqk0GkSOtmGMXBNVLGPu6cPZ1U/T8z2MenaQ\nfFfAmLURuW0Kd49Feq8BdkxYsogdsIc0OSu7J0YscPukJjFcaVR4TTZWKaJ5ndbo2XB5jtTuAvZQ\nSGm0hZevNrVFM3mHxpt0H63oOyKm8fUII9Kz1G8lFf1Pr488/hVJdM/dHo/3z1xao7OrUD+3rgs1\nu7XrC1epBNuddy+RTZ+4XnVdMl9t+8w1auK3VsjvT/9m7cUk2N5w02wVxxoPvzvt20pEcelzn5cN\nF9xY029J1khs1+rzI7A9khxFGHL//u+p83IXSpLVJ2vS6pWy8bo5yggOvLZJcO/8+RIJfEsThT59\njUqIXGLoCbvk/pt79ck2wfary2erxCBk+1f111KLxbbL56quLy1QHT9cJlFKa9Bv/5omk4E24Eh3\n68/v6f+0vPb4k1atlFzX8FPvOSLD2WcukTNmLZWR2P7LmoXqtAu03O/T/zFXHXPxKnnqP+ep989c\nKve/coua1TFbZk2ZL03Pa7epBNtb585Rb8X2QTevrrFaX1k9WyVkp1dWz1ZiHpiFN68LOflTK2XD\n5Tn+/OBV6olfz1Nr/7BAeXmtO5+Ujo6YN7xhnPoxHfz/b/X8t673RKDfW8rR/2YDZjlChf8fde8d\nZ2dVrY8/a7/tlOkz6WUmhRRCFQQkgqBAZqzXdi2gIiAKBGEmlYQeSJ8ZuoKIKHqteOVaZhJQFAxI\nkRZCehnSMyUzc/pb9vr9sd73zJnoVe/n870XfvvzyWdOppzynnXWXvtZz3oejUKVCbeKhOJXIBRG\nBMhnxa7P8wwESY2jgwnEE64YU1g+fG0gsc9AX0YGjmLKQ62ThRsYMLOA7rNhGjK5mbRdBEwYzMRg\nOT7yeQuO5cPTQ5cj0Ao+K8R7faFW+tJ05UALf95QoBADJCMcpAJgVFdhxBs58KgCvCRDuWLQfehA\nNQYyceQPJ8FlwmcOwmRvOAHy+8uAAQvuSB/dA2XoP9HHgWfGI5d1sKl7NE4q2wfH9GEZGrEeAhsM\nKCCo9NHzHkbVThcIRLyNTUYQExmDqT/JoLtQBj0xB/uyQ8hN8DF4xSACm1B/s4/Jj+dQvTkLp1cS\nT/85eRw6Mw6v3BD5BJ/hJRVy1QayIwwUaiS+es/0MfX6txDr6pcTj+eJmmcqC5V3Ed/Zi+TWHoze\ncBSjn/dRvTVA1as2jH4T8W4xgon3aAQ2IXFQdObZEMli0kCuhrDnYxa6TzVRvj2FGfekMHB8FbwK\nE/HeQEzDfRTN3s0sI7mXMOFJRs/JYpp9+IM+/KTQQd+pFcX2eRet5Cefu4kKVSZmLW7nqavbWBUI\n9Q8OJaapP1vGO+e3UBTbx93ZVtwkEvsMnBji9is2fZhrnSyeu2gVnf7VNi6tkpO2i2+f9hgd9/Nl\nbDlSiJzesaTIiPnQ0y0clMR5x4H7qHHU1dxx4D6KYJumsXO5s/tBahzxdS6N7WgjiFQnI8okIFrv\n+cNCfdt98RLa+fmltO0zov0eVd/bl7RQaQM46jmcVLYP0akAkAIGAOofWcUvf6+FPtAkg0hUUNh9\n/TzadqOcKKb+ZGgQzb7skEy4XjGIMy+Wx9vVMo+qN2cByPDZsbF9xpdai5tudoQUDidf286vfEde\n1x87F1HTxOu5o6udotgGZDI3ubUHc069maPY7rpsEUWxfdL17cWp1sRBxllfaOUT57UXCXzReva/\nFlAU2+/73Fqe/RlJ4obLRQG02Z9ey2+uFfvBcz6xhjc8Pp9ObG7naDgrElD7Z+tdkei9wEBytwHD\nk6aDHxPPS20I9KEKClVVGSjF8A8nUD5uEBwQDKXhVWuMLk+hvxCHW8nIFywkjAKqzQyqLHljCtWE\n5PgUeg7JFFldPI2UJzACMxBkLBgljVgFRrlTQLWThZmNNG0I0Awywmo6TPqR92m0gjF1IFeDNSGI\nS1WfH6lh9JsoZC2YtTmBQkIFSzCgPQVVV4BZl4dZ5sF3DZSPTiHWK72JwcE47n3jPOzrq0KmYCP2\nwW7YRw1YlQVYSQ9c7mPvhSamPO6CqlxQQCJnoAldHynHm6/XIxbz0JeNIzkyg1HLTAQ2SeKstGH2\nZ1H3RhaxIwZ0zkRmnLhT+THC6Ct3o1BJRf46AHzka89ifIfC28umg2MW2POgM1lwKg3OZEGDGVDe\nlbF6XyOx6yjK3+rFqOcGMP7pAIkjGlaa4QwIDKN8hrYkWReqCc4gwxlgVGxTSO5nBEkL2YYKMV0x\n5TloM/KHlevuDDIMlzE4wYQ1CIAA+4BsxPHD71xVXxrbgBzfN61sJm1IolQFhVN/u5Sn/eJ2jrju\nHIhs7valLTS6PIVzn1rAb61opnxBXs8Ns35HpbE964lbuP6RVXz2+kVcFxeu4PbP3kTMQP13V/PL\nTcupNLZfblpOn9pwFX/wgyu4aexcLsKP4Soy8YiKrJvOvoep48B9dMHsO7jhhyu44d5Wnn5rOJrf\n3spbP30z7blqPtV/bxVPDiGMST9azg2PrWBVV8DUn95RTEhRo3nyj0U35943zsP0x2/nWU/cwqd3\nLOGIRmolPdQ/uor/FOLoe64eao5uu7GFuj5Sjob7JDn2ZePounIBvf6xZRTYhAgeM/vlOkWxLdd+\nKLYjeCWwCCcsaOePfO1ZzP70Wj73o4L5R3pEHbtaqePtu6hpwnUMiLTyuldvp2d+u5A2PD6fLjrt\nVh7/dIDX72kmK8148bF5dO5HVvNL32+hv/x4HkWxfdYXWznaiE67oo2DpIV1byyj5386nzb8Yj6d\n84k1/NzP51MQI5zzcUnsZ17SylFsy/sisX38knaOXMT+2XpXJPq8Z6J2swdj0IV2THhJIHAYOqZh\nuAR7XAZH+8qgAwUoCVgAyGYdmHU52KGBh7YZXsHE3nwN0kEMY+wBxEwfbgVQFiugvC6D3pRUHVnf\nhmUJVZPyqmhnmPdNjE0OINAKMcMHBSz4e6EAaDnukRlecC2WggAk6QPwKx241TZi22OAIY5KyiWU\n71ZgTSACnPICgpwpCrUEsCvVRHA4XqRcaq3gDGjUdTiwY2JW4ubNIq5PAcB7E/CyFsjU4FEFHHxf\nHMe1u9BxDb8yQKGhALcuwIiXFRpq+hD7VRXqyjLY/cny0EuVkJpg4ugptbD3H8WYDQUkd1qo3K7g\nlhEKFQq24UN5UmWzCXzyy39C5/3vFzOT1/cDO94GpzNyTTxfNkSlANsC5QqgXCjmEQRQ2QISuwdQ\n+cph1L14FM5RF7FDWVRt6kfVphRqtuRRsUeDNJA44qFuYw6JbrnmzlEXZXtzUD7DSvuwMhpMkOZ9\nmUJmjIKZA+wUS2NtkoaRl40g1fDOuYO/3LScotgGAC+c94jogbu/OY9e/cidtO0zN1PD/WuLA01A\n2ExVAZ65YA1NbhONm7mvfJHXvjWn6HLkVgiFseuyRRTF9sefnctCcRT2CgA8d9EqeuaCNfTk+e10\n7lML+Jezv0VRbHcevL/4mJ1Hvj2UOMKYjqZkAcCttqUpajC23tpMU9a08a7meVT//ZV83M+XsVNe\nwK7PL6WGH6zk3RcvoSi2I2/WST9azm9+/HY648utvOsLS8iO+djxuRvJzZtFKma0dnzuRiJTY9KP\nlvPxS4bgi/qH1nDDD1ZyFNsffuabw2ikUWwDwNFTagGItk5yp4WTv9nObhnh+Z/Op/865z5SniTc\n1+9rpjfXNFPn/e/Hhsfn0zO/WUhzyi/lOeWXDquYO0J9/qYp8zkyAAcAlS0UsfS6F4/ignPu5Ngh\n2WQuOu1WfvVbLVQa2x/6wHKO/AcA4IL338GzP7O26Bb13M/mkw4Lqxd+OI/M3JBIWxTbby1vLsJX\n/2y9K1g3CduD8hjsGMiNshHEhCmhXKEnRkp5fm8MRm0B/b1lUHYAP2WB4gH68gloliYlKcaBXCUm\nxPqQDRzUxLLYW+/i0MFqTG84iN3dtRif6MfrfePg+woVyTx6KY6Y6UMRI2G5RQGjvkICQTyk14TJ\nnQMNsi3B55UBaDkek2kWsXor5WPkX4Guj8vJBACUy7AO27Cm5ZE5GocaNKHjGqoiQPmINHJZBxiZ\nhxlKMHiegdQEBTsF5PtiMMp8BK5CNu0gl7WhR/uIHbDg1wGcNWFWFpCZ7CF1Zw7YH5f+ha9QvstA\nbgTQ9btJ+Nh1f8Z/7jgZUx/ah823jUTliw7sNCM1UWGwYRzqf3EIE3od9B9fiUKVVMyv7x+H8gIj\nedDHB1Y+hydXnANLMapf6QFn5OhMYSOaEqGRMjOQzQGJONg0oMscUEESNlsGFBGCcgf5ETbyVXGk\nx1NRFlm5gFEgJPfbSB7xpdFabsE5WoDKeUju9kFeAPuAD5gG2JRaJT25AhUv74c/phqZiQno7Qay\nYxhujKFG5/8Xo/cfrzM6b+AXf72CIvXFIGRMTG5vZSNHRTXFhgfW8p5r5lP9o6u461KBYiJNmTPX\nLeZdLStp0n8s591f/I9hybCUzx7Z5EUrcpc6/w/zWBHj9+e30eUvXcrPXPAoNf7pOv79n4aap40j\nv8EgBbItdB68nxpHXV1sxDbWXsnsuvDeOx1WwDj3o6t5z2+GePunfqONrck2ti9cXGSl7LlObpdK\nGsz45W28+2KRd4jYJ/m+GCb/eDnvvngJNfxwBZOSqfHpt7dzfqKLrktvoKk/vYMzkz28b/0iPrC/\nBioZYPfFS+iEBe2cGyGa/4tf/zSvPPlxaprUwn+N1Dcx5N3aOH0RvxUanJxyzRDcYYSxDQjTxVJA\n48wbGIe7sS71KDVWXc7RbMGwN5YIbBq46L238vqXbiW2TFx02q2sXB/rNt5BYoW4lGbc3M7eFyrE\n/ORH82jGze0cxTYA/P6ZpXTh2cvYyHnY8Isbac5JNzF5EttlpsKcU2/mda/eTnVP78WFZ93OmYkJ\nVI6W2AZQnO79Z+tdMTA16UfLedwvLDi9LtITY8iMkWafW8nwR3owYj7ABGtbHN70LPRRB/aILAoD\nMRhJD+Pr+pH1LHTvr4JK+BhTN4BzR+1AtZXBxtQ4vHJwAnJ7yjH91LeR9WycP2ob1h+cgb5UEkSM\nXMrBqFEDSNouRsVT8FmhOydTqfFHq1HxzC6p3r0wqSfigGmCPU/cphTJ4JTrofD+4wEA8bcOYvMd\no+HscaAK0jTM1PuYNXMvNm2eAJVT0AkN2BrKCqAMhg4Iph3Atn1J/IcclO9UsDKMvjk5kXxgIF6Z\nRxAoYHsSgQNMO70LihjbDo2AdzQGlVMwCgSvKoBdk4fzQhnMLAMf7sPAYALOljicfqB/lo+aVw34\nSUJuFENbjOMeGwQd7IE/dSxSE2MIbIKfAD511dP49drzAQA1bwyA9h2W1w5pQFM8Jj2LmAO2xH2L\nEw78ihi0baD/ODEhL9/vI/nmIfkdY4ijyo4JygvOD8MATAMoyMZJodkLm8aQNLRtgbQGmDFwYi2q\nNrwNXV0BGBRKNmsg0GDLBDsG1r9067/0gfjfWO//5Bo+NrY339kcJnUZkrK2xbH1lmZq+NZajmK7\n6/KFdO5TC7g0tnd/cQktfv3TfGxsRx/4WzZ+gtcfnIHnL1pFkRwBIMm+NLYjzn3jqKsZOhBRs5LV\nOOYajir9xpormF0P69Lfp/MaV3EkL1C66h9cw7Nm7sXvzr1n2M8m/Wg5K4Ox8/NL6bifL+N/FNvH\nSj6Urqk/W8ZRbO++fh7VP7iGu77+t16pM25uZ6df5KCjAarIPH3Oe27h0tiONgFAnLleenSowo7m\nBwDZBIeddMJV6mcbPVbTpBbu2N1GjTNvKCZWdkyse20ZNU5byJ3bVlPjiTdyZ4mDWNOU+dyxcy01\nTlvIUAqdW1ZS4wlLufPNO+l9n2/l538yj+acdBNHsb3uDdH0n3PSTRzd/mfrXVHRO9viiB9OIz8i\nBtKhmfcIBk/IQzGgiOFlLKBCIygIm8SyAhQMkRGocnIYzDsgR2RtGUA6cFBnpVFjZ2EojVi3QplV\nQHemDNszI6FZhpbyPQlQ0kemYCNuedAglJsF2MkAe/ZOxYSAQeVJcCojCkOawZ4HMk0ROovwTVJQ\nlRXC4/YZHHegei34cYaTI3jlDKvfwOF0ucwB2BooiIyDBgCSSt73DNi2VO/GmDz03gQ8RaC340C1\nDxiM3GAMZGh84II3kTRc/G7TCWBXyeuPB6C0gZpNjMMfCqC7ZDOwB4D8c7XQU8V5i5WJ+AETqUmM\nUS8FoMDAwIwAuz5biVEvlqH8tYOo2U/gdAbv/8M+/HbZeTAUw8pq0P5ucMEF2RaoLAnEHFBeIBpv\nbDVS9THEj3iIHUxDOwbs7gxG7+oWKMBQ4GxeTkVaC8yjFGgw9OINEzmipE4km0JoJQkiMBFUJgdd\nkUBufBkqtg5Aj6gCmwrk+qBA3icoArmeWFG+gyt+OF8cYT/punZ+c41U4V2XLqKpP72Dg6yNXaEx\nxp6r5tOsJ27hbZcvpCk/uZNnjZPYjvxdAWDlyY8Xb5/4XzdzrFtONTK09AR1HpDGa5TkZUKz9e8m\nhM7DD1Akf9BYdTnDMkHxeBHOaRzxde7se5iaxl3LH2haxX/qXESN0xdx59ZVVGrRV4ztY5b2DOy+\nWBL49s/eRLOeuIUDV6GreXglGqlw1j+6isnQ2POlG+jqv17CD5z2w+LppuEHK3l3mNyPTfKR7g/G\nK2y5fQHNuKWd/Unysx0LW6j+22vYDmM74qoDwB1vfpRvPOE3FCX5xlFXc+fhBwiWiaZJLcwxB5RM\nDHtNkZ3h759ZSnNOuYnVYBav7mqlpsnzmLN5NE24jikcQmuqb2Ya9NE08XomZjTVNzOZw22hIuXS\nzm2rqXG6sJI6Q9G7iq0DAACOmSDXLyb5xllLmAKNxhmLuXPLyn+a7N8VGH3iAENlXRl6sWXQxcwQ\naF/UMCVYPSZ4ZAHK1IClkUlJsjOtAK424GsFZQ6dTgpa9rBqM4u6sgxUAMQMD1XxHLK+hf50AjpQ\niO83wZ5CLutAEaM3n0TKd5D1LZBi+I5CUFM2JHlgGIDng/N5mYq1LEk+rgvEY6CAQ3lcDyNfAoKE\nCHGRBhIHSUS7GLDLXJBPQrHzCDr0sTVM0bFHQAiypmDxCnD6CVaFC+UEiFfk8cWTX8KzO6fiyfXv\ngbXPhlVRAGdNKEtDj3Bx5H2MkX+w4dd4yM3IwysjlO3TgK9Q86oBb0YWygPK3gYS+7KoeyOPsl0m\nvPEFHPici0NzxsPf8zZOfLIXz84eifIdaSQPFRDflwFns0LLC4LQ5tEGJ2KAUrAO9qPm2X2Ibz8C\nuB5iu3qgBrOI+Nrw/GJDG6YpswiGAuIxwLbAcUea277cN/KC81M2L9/LF0CpDAoNtVCH+5D4y06o\n3kGoQ70wDh2FOpqWZnA6C+pPAUcH5d87uFRWTibvvbSNzbzE6JQ1Ah/s+NyNZPWYRUOP+u+t4kwq\nhobHVvDOzy+lKLYjvfPSdcvGT3AU2wBQFRcf0xfmrKSpP72DZ9ws7Ixc1sH5f5jHH3q6hSMJ3YYf\nrOSI0915+AFqrL2SO/u/S53dDw5vOoaVfsf+eylqikYbZ5DQmHljO0+7o413LGqhTN5GxAaJmqQI\nKZiRKfemT9xGXV9ZXNz0Trq+nY9f0l6UcIhX5BFNnj65/j3F11r/4Bre82X5u4ZvreX3fqWN6x9Z\nVbwmby1vpq7LFlE0iLXltmYqexu48KzbGUAxtv/8nwvo1G+08YXqszJgNXskLjrtVv7Q+cuL10Je\nnMRf5+YV1LG7jUox+fj2I4gSchTbTfXNDM9H5+EHqGPv3QTTlEq9q5069t9LsC107L2bOrraCX6A\nohl7fXPxNTSNu5Yj/9yI4aR6B9E0di6vf/EWUkfTKL4vm5ZT55aV9K/G9rujoh/UKIxMInBUOOEo\niSAY5UIpBhHDTBO0wdLENBjmAUcog5aPcYkBHE6XgYjBLFIF3fky1Mf6kDAKMEkjsICefBkUGCkv\nBsvyoZSC08MoTA9gOx7ipoeY4eFAuhLjy/tR/poDL8GCA4+qAw51F+EbMINdT5JWoEOKpVSR2paq\ntfLXG3Hw3Fnw4wwVEGJ9GoP75Xn6jgHlEXRoXA5N4EBBONEaRjxA4CoUqgE7JUNFfm8MV533FB74\ny/n4j9ffCzIYQUMe1vY48gOOmIQwYNgBgoyJvhMBMME45CA9ScNOESggGHmIn60HeEkCBRpOVy/q\nYiPhVTgojPLRd4aHT87N48+nVcA7ZxpUoEGuhtq9TzY7x5HX7vkC41BYhQNgPxD6aZTciYoj9cOW\n1oAWNhMKblFOAghnE0xTmuCmKRuqYyOcNoP95l7ZIJRcd2YGcTjzEHqdQimQ/c7XMoWR0iQthQaC\nUZL8p/70Dt6x6Eaa/JM7+djYFrXJIRx98o+X8+jaAYxMpHB61du47cTfEADMeFoalQqMDz3dwodT\nZdjxudvplKvb+NjYjiR0o9gGxIw8UqyM4IqOvXeLfHHBLcoinNe4igNH4dndbTSn/FLmNbOw+Y7h\n8spRgt8zdz413L+Wu66RBL7nSzdQpKw5+cfLedcXltAbdzfTifPa+a3lzdTwwFq+6rynsOVTnRTJ\nDGy/oYUiZUmUFHF7rppPUzJt4hn6D9Zr9w9d72hKtf47qxlnMD45N4+LnIt5feFHBAAXzL6DG2uu\nYGgGHAedfQ8XN7vGUVcPr8ILLjp3t8nPiYYZqheX1ujY2U5N9c0M3x8OU2azQz2/XA6RemjH/nup\nady1HH1+gCHWT9OE67jYCA5vN024josb0z9Z74pEry0SRyAO2R1KBmeEfkjAnjhyDR5iVgA+EkOy\nYQB6i4PCRNHK0EywDA3L9uEWLJhKIx9Y8NiAwRpx04NfxujJJtFQ2YfuXBmCQEEpRqGGYMckeXuB\ngZjhoeCbMEkj1sdwy8JE5HqgeByswuEoHUgSqigXwbNcDkjE4CUN2AO+QBOhjo5fzkgcIKTHKRh5\nRjDKA3ocqAKFr5MEmlBiwMyKQAaDDEZ+ogu/x8IlTX/CM91T8cAL54NyBthTYEuDLA23QsM5bCKY\nmoMOCH7BAJV54LyNuudN9J6iYeQUlAdUv6FQqCI4r5QhfWIBNX+24Zc7OHhuJcb/vAtVdRNweCSh\nZtQAvvv8Oaj9solETwCjoBAbyABjRgLdIlzGvg8CirIQ7AdyXUxTEm8EzUQVfJSIgeJXDmWfyVAC\niRGJrpBtiyy0ZYNTKcC2gUwWCKUmyLYkkVO48WoGZzLCfoo0iBJxuW/7v9c8+d9eZ17Syi+sX0yz\nP72WNzw+RA8stsZ2J1D/3dXcdfmQtPDxS9r5rYXy/6+++FX+3hnfoxm/vI13feGWv/uh9ss4lNGV\nUfyZ/3krz3riFtY1Vdh98RKa8cvb2AuMYfj5xrZmOnluO1941u1sRNCW4xQxe3h+kVo5J/ElXpd9\njP7YuYjOv2AlN024jsky0fWNBTTpnlZOHFDYtFIY1GCVDQAAIABJREFUOHsWyGucurKNKdQYqn94\nNZOtsefL4WskRsMPVzC7Cl2tpdTJ+XJtskNpya0IjUSSHib9aLkoe35lMe2c30KnXdHGDbm1bOQU\ndi5ooVOv+lsjbQA4cV47j/95F3rPmwC8n9B12UICFgEF6Z8YBcafNtxIjbOWcOem5dQ46mpuHPkN\njth1UTJtHPF1Lu1ddOy9m5omtXDTxOt5WGyHa1ifY8w1HE0fR7HdOOpq5nQGndnHis+5Y/+9VEzk\n465lKAV2PcBzMafyMl438AhFCZ//B5DkO1/uQBK78rj41SuDyAv78vSUD6iYD6U0tCN898AGAl+h\nJp5F0ixAsxhua1/49bYK0OslkQpiqLBz8Cs0ug9WImZ48AIDhbyNzGAM+ZEaga8wrnoAjunDVgHi\nllxAO63hlQMcVaeWCbAW2Cbkz7Mnv0tT6jE4swq5GoXY1oPFNz2xV+AXaMArZ5hZAhcUjDzBq/NF\n+CwgqehdBVIM0w5gWQHqalO4+qyn8ak5z+PJZefg4B/Ho/I1G+xo+RtfgQsGzHFZkCYERx2QAuAp\nsKcABnrfo8HlPkBA9+lC9/QqAPKBEybtx8Qv78Chs2Ko2uFj6/UTUPvHvah+zRAbxYSP3EjCQIMp\nevY1cVDBA5WXDb15hiG867BXQZaYtECzJOogAOdD9U/fB3seuOCCCy50Jiu/q0juI/qgKDVUAWnR\nRGffBwcBOBvy9QsFwPPk/vwSMZvwyA1AXMBSKejB1P9O4P4L64UfzqPzL1jJXPJJm7K2jbu+spgm\n/3g5R7ENoDg8FTG1Gv90HX/vjO8JFFHSVD3WTWrHohZ6uWk5XfLC5QwAmz95K0WxPfWnd/CWT91C\nkV78+59cWJRNfv2+ZnryLzcTRVDCMbHdOOYaSXhT6nH2v6/l93ytjaPYjiiXUWwD4jsMAFNXt/GO\nxS2k8iJp0HXFQmJXLsBxP1/GlhVgzyU3UKmO/oyb5VRS//BqpkDs/eofXs3mOKEoRrEdwT6T21r5\nrw+3UBTbAGDmhq7JR5+9tniNNrY2UxTbXVcuoLPXL+JJP1rOM5e2cxTbAEAF+SwXq2TDQOOYa4aq\nessaRkUFgI7dbdTx9l3Evo+OA/cRF1xEw2elST663TThOo4orZ2HHyCKOZhT9hUGgIjKWTxNlcR2\nZ9/DhCDAnPJLeU7lZTwn8aV/uZoH3iUVvZUR6U3SMlDCCmJsQYwgZSEYEQC+Qj4ngmYD/QmoSi1q\nlaYLiwJYRoBYwkf6aAKWCpAPTBS0Cc0ERwVgg0G2Rl8hCV8r6IAQ2x5DoU7DMDWynoURsTQ0CHXx\nNHwOYaQ4cODcJPxkAlaKEMQApxcY8WoG5o4DIk88fhQy9WUILELdG2lhnBRcUGUFJv7uKLZcVQ63\nmsQk5QCjMEJBmwy7sgDdb4oSpsViEciEIFBwj9qwLB8P/PlDSHSZoKly2vETgEr40L4FCggMwM3Y\noGoNq18hqGYYKQNBlY+g1gNchfhOB4U6DWt0Fl4iCSbAzDE2bpuA2bO2I3dCDt1GHKQZnMvhc9c8\nhR9/50KgQSM/SkO5hINlDuo2+bCqk4I5G0qGokyRgogcuJgJpNQQEylqwAZajqvRDEJOKI/s+yVC\ncYYEdij7TLYNnUpL4iGSDUBr4ey7HnQuD0okZLMwCDDjcurKZMFBAFjS8CX6lz8P/8/X7E+v5Q1P\nSUUPSEILRkpiKY3tSf+xnOHI5hZRJhOmnB7ft34RG8TYu78WXZe20kV/vJ6/9vKXudbKYOXJj1P9\nQ2uYEj6On5gsPm5pbL9v/SKuLz8axrYBnxWE/id49s6vjsW2G1toxi3tHMX2UxtupKaxc7kjZJuc\neXFrcWK0sfZKjtglQVJLbAPCGnpgLatwqA0KQCDJO2omB4HC9s8uHSahfPySdt6yvJmOv6Gdu1YM\nN7uuf1Rw+EgaYXJ7KwdVPlAreTy+08GW25vpuJ8v42QiWZRQ3rhtAr5ofY2f3zUJzuY4di2bR2iR\nqeL074bH9tPtoZ3jjjXUOGsJw/NBsVgxtoGS5A9J3NKj0ihKOpuyMeLvnR41D0v2gGDzurcP69Lf\npyh5r0s9Wvy5TqUR/b9p7FxuGnctq8qK4bH9P1jvkkQfhKPvMm5fWv04Rwxxa8qb0FkTMBmx7THk\nR2jApzCRh1r1xEBeoRCYsFWAlBdDlZWDIg2YGuUVOeztr4JtBoglXCQOO8iPYdiWjzLLhWP4iBse\nFBi5wAIrAivGxMcPSUUfYb+eD05nEPT3I/tvZwAEuEmF6jcHYRzqlSqfNdixgR1vg4ITwAqwB8X0\nHAC0zTBJKI0y+UMgWyNZnpdmbEVILYwFyNYDsQMmkvsZ6XpApyXJk0fgMg24ClRbAGdiCNIWKBSC\nY1sw8MARtUuvJ47cKIKZFW33qtcsvFI9HolkAZmRDsq6FGL/aeAnD16I0d9+EYUlZ8Cr0PArffi1\njIGMDeUmEDsIqBB/51y+qMlfrKQj7Z+Q/cJ+2IDVAciOgbO5Ih5PjiOqoI4t96MZpJTAQBzej1JD\nyTo6QWhdlJ7gbEEGtByp/CkRl2o/l//bvsD/8drw+Hz6QNMq3hA2MrfcPoRpl8Z2ZDM34+Z23nJ7\nM9U/vJpPnTGU86LYFjniu+jzz1/JVVZYwoax/btz76HTfreUM3kbicPlyI/hIrf+Ky9ext8/45Gh\nO/wlMO2ONp78g0PYtk3kByb96IAku9or+ULj3/nJ4GfF36/cMnQq6ux9iBpnLOY55ZdyV+pRmrqq\nrTjpuefhIXhq5/wWari3lbuuWEgNP1jJycocdn3+thCrv50afrCSOW8gZpt4z9fa+K1wI2m4X2YK\nAGEmyfzAEqp/eDV3NQ/fCAKH0XD/WoaS2N4aspeK/P2zhiQY/u3PV/Pun12IN+5pplJN/frvreKK\njTY2tjWTjtlYv2l5sRJHEIidIpHEUqgBBAhLaU7lZUyGGoJ3aq/kY7X8Ow8/QE3jruWI0VNk9gCI\nEnxj1eUc9UjmlF8q3wtpnez7RaG56D6LfzvwyLDr8d+tdwV0Yw26AMl4e75OpAM4roV5EgO8grBJ\nVNpAzYhBwfAtDXIC2EaAhOEKdKM0rAEDSUsSRL8bR8qPIRdYsMpcmEaAmmQWgS65NkkZlKqNZTAj\neQg1VgaH8uV4rXts0X/SH1UpbBDXk0EgRcCIGhQaTwcrGcevfbEbxqFeYZEwA6RAng+eOQmxgwaC\nOCPWx8iMFZE2M6uAzeXCLqopYFxDD9gnpI8kUUg70J5CPm+BDA27Oo9YD1CoIcR6CGP+qKBqXLDN\nQCAnBR6w4ZdpOIdMQKFoIg0G3HEeVF7B6lPIT3RhZgBnMIBRYJTFC8hlHdgDhGD2AF57bTJS9YzU\nJ09Dw6/6MOIV8dytfN1GEAMGJlsYnF4Ov6481FkOZwmCQKqfyGpRs1TvIae+uLSWpA5I0i4ILZMj\nzrwhsA05drGaiha7rnD2Syp0Lrgh7KPBqbScJgBQLBZi9PodT/Z/6lhEZ392Lc+8sWS68zurOYrt\niGUCDG0EXVcspMir9PlwqrU0tn/yvoco5cdwyQuXcxTbAIqera882EJIDl2/GclDAIBPbbiKAZHh\n3XZjC3WGSb5p4vXcsUPcn6LYLl3GoV40TWopPv/OLSuJZ04CAARx+fZfHw41aFYPDSRRjby/e768\nmDZ94jaqf3QVa09h6s+W8Z4vL6bS2I6WqhkSCQSGvFadQyYavrV2GGy1fWkLlcb2yXPb+dyPCVXz\n9I4lPPnHy3nPtULl/NX7H6BUvfx5w6+kz9TwwFru+uoiCoTgh/V/vZUumH0HN024juF66Dzybers\nfpDg+wK3dD9YNEvv7P8ulcZ207hrubP3IersfYiimIvYMx3776UouReTfAjZRAmej8H4uSC4fMTh\n7zx4Pw0Tniv9XP2T9a5I9NEKbIIfZ2GiGAzrqAl/hFvUg2GbkUrHiz93Eh5mlkkAV9gFWCqQsXcA\nhcDEYEGSfL+bQHkyj6p4HknLhW0GyB9MIjuaUDdiEMfVdgMAxlhHMejHYCoN1w+74goIYgaC8hg4\nGQd7HvJTRiI7tQbpsSYqntyMyie3Av2DgFIIRlQWpQA47iCIW6jYrcUAo0xgqVg3FXFNY0YKOmvi\n0MZRgKekug8IpBhexoYyGG7KDq+PCIFZaY0gK365Kh+qVhKDLQ6fM0M7GuQpkE+wEi7K9krjF65C\noRY4Os0CBYAfSAgYeUJVMgflCiun73gDh2dXw8pozGw7DOUxKnZrJA8GsFMB8iOlei6dGOZAy2kn\nwuNzeWkYlQzl8bHBSWoI4zfN4qmg+GMzHL4KmTXyWEFxGncoeALB8HO54u+RZUFVVYIq/5bf/X+1\noonY534+n/w4Y3J7K9c/uoq7vraQds5voT2X3EAR9bBUD+bvrSi2z31qAZ+9fhF/+7THqDS2o7Xl\nU7fQjFvai3REQGJ77itf5F/O/hbNeuKW4uOcf+FKvvCs25mTMtV8/gUrOTu1BpEOe2Ptldw45hph\nhexuk8pzxNe58YSlHMRD+KDkWW+7sYWi2J7xy9tYZ01Mbm3j+gfXcP1Da7jr0kVEirHj32+iKT+5\nk7d/VuYLNq2SDe6cj6/hIGui4b61POnuofH++gdlY2LFqP/2Gi5N+MfG9jO/XkinXd72N/Z/cg2B\n6be187rXhI8+s+0wAMhnNFz5kQ4iiiQglTMHuljBs++jFG6J+hUd+++lprFzi2qfjaOu5igWS2mU\ngDR216W/T1FsXxS/pAjdUGj4AgDrBh6hxqrLeU75pdxYcwUzc5Fiqaoq0TR53r808fruSPRh5awt\ngpklBBUBoAFrgOAkXWGY5ExwIoDfE5Pmi8mYMqIHAFBm5FEby4CZoDw55mY9C/3ZODK+jf58HJah\nkQ+T92A2hqpNCl6SkbRddOfK8L6qXdjn1iLjOxgdG0Q+Z4P8iAFEIE8jqIwj876p8CoMxJ/dgpFP\nbJMEZYSWgnEHau8RYKToa3g1CXjlorZIgeicGAWgfH8A7TAKo3zk+mMw+00YriRtaADE4omrCVpL\n0zUzkaECEV/KjjCQ3GmBE0FR6lblRQNfm4A5KLryRko2R68/BvIB7TDMAQN+nOHHASvLyL9QCyfm\nov7CPTj01kixK6zU8Co0BqYzDp1pIKgtx6jn+mHmNbIjFPyYgh9X4FE1wjyCVOJkKERVCRlqCHIJ\nm7MgCrF8HrpurEG2XazEo02BPa849BR9j2y7OGDFzMOasBxNzLoeOJuTfxEXvzC8Qvy/XE8+dxN9\n4MOr+b2XtnFpbAPAtF8Ix5tzITurJ1ZUI/zwM9/kWzZ+gts2X1j8ICtPxv2znoXnLlpFn3nuG1wa\n2x9+5psMAKdc3cZekvGB38/nD/xe+NqXTnueMr6Db776Bd70iduKZKWnn1xMUWwDwNNPLabIwLyx\n5gqGoYY3IEfWorP7QYpiG0DRsez4G9p59mfW8o7FLVT/0Bouje2ury8obgC7L15C9d9dzVpL0zUz\nkXH8knY+/att/Ox/LaCuyxfSnrnzafd186jh3laedFcrg4TJ0/X1BdT1jQUioBa6VEWx3fX1BeRH\np4vvttCMm9rZiQ2999OWtbNXqbH1lmaadE8rT13ZxkGtFAF/+fE8OuXqNj77s2uLFoMoFNBYdTmT\nobBu4BEqje11qUep9GQZqX4ys9BRw9juPHi/mK93HWNOolmubxjbkYPXnMrLpLr3fawbeISi/0Mp\ndPY9TJzNoWPv3aI4uvdu6tj19wfhjl3vikQfuQMVKgn5UQLZGP0mcuMDFDI24CqAWMS7TGHnQBNs\n5aPOSqHGSKPOSYvhdhh0SduF7yukPRmEyhRsVMdy6MkmYRgaVkYGPtzAwIh4Goo0er0kDuYq4GsD\n+kgMboUKG6AK/ceXw62JoezVfSjbsBsqmZBJTy2wAQItMEWhAAykQZYFv8wqzgZES3lAzwkGEgcU\n7G4DZp8lmuqEInsAgDCOSKBBVeZBT8zByAGBI2bZI19xQZYGFIPjAbhGGAN+hUbZXgK5QqcknwBi\npKZokEewBwhedQBtAdlRCsmDjPJ4AYfTZZjRthc1b2k4fYZUSCzPaevlcSBgJPZlUL3dRWqigcQh\nF1TwQRXlcnqJKvrSFVYrgFThpZW9vPFqaBo2WqV84yiR/4NmqmD/JY8b/j3nciDTKLKi3ql10Rm3\n8Z9+t5BeerSFotjuumwRNXxrLW/7zM1U/+013HXlAmr44Qrec818YiWKk7bycduJT1CNIWqUF/3x\neo446y83Ladpv7idf3H2t+nPF66mFxtXUBTbs564hY+N7Xu3fJABFGN70j2t7FYoHLdcNpUotgGp\nQotVaRjbw/ToB9JoGjuXf//MUgochfMaVxUtBd9a0UwbfjGfTljQzl1XLqCuyxZRFNuT7mnlrm8s\noPpHVrHQSRfS7i8uodLYfvl7QpE8r3EVR6ecPdfOI67x0HXlAtqxuIVO/mY7N9zbysfd2cbRcFRq\nii5KJ+9Y3ELTbxOIbMuyZtr8yVvp1N+K5k8U2wCGx3a4XnughVITh+Kvs/+71Nn/3WLFXtosnVN+\nKQ+TjwlvFzfFKLaBok0jIBAZILHd2fcwrUt/f1hwR8k9+n7x/yVfASDi9TeNu/aYD9XfX++KZmyQ\nlCOgWyX681ztI7EthtRMD0af/Cyo8hFLuMh5CkFMQcV8aFZIBzEM+Amk/Bj6cgmAgEPpctTEs4g7\nHgYLMSQtV4aUtBJN+L4YnBgAAgayceRcCyZpTC87jIODFZhWcQTWoAiSBXGZdK15uUcmAi1T8rHW\nQ/zwsNPOtilJ3ffBSrB60gy7N4fyXZXwE5KknX7AK5NZgfJdwOBxLJi6lsTMSpI8iKB9gun4CHxD\nKnpHJoe1SaCjNvQIFzRgATkDhkuAYqTHM5RLYBOC4RtigBI/SHArRb7Yq9AAFGrfdJFXGpMre3F4\n+mRU7EwDVIaj0xUKtQHiMwfgbKjGrs9Vo+4NjcTBAsY+3Y/05HKYAw50TRLmlqwMqwUByDKLST+6\nXWxim2aJEiiD7DDJRxBQNFhiGiAWKQudyxcxebJMsOcXYRsmEupmyeYgiZ+BygpwMg4K9NBU7juw\ngqSF939yDfecZEKVSWyfML+deWboX5CTa7Pnkhuo/nurWMXMYiNxxaYPc8ByOlx/3l10/JJ2TpzT\njZebllPc8VBq8B3F9tZP30zv+V0b75k7f1gCuWXjJ7jzA0/QN1/9ApfG9tn/vpZf/Nl8iiY1I2mK\nUhGviGIIhFO04f9L5wJmLWxnNmVCNXCGHldbjF3NYhLScN9a7po7RKlseGwFm04g4m2fl++RFh34\nSfe0csMPVzAGLOy5ZnFor9hCUWxvXyqN3j3XziPliZuTWymMpa23NNP029p57LMFPP3UYnr1I9K3\niEw/pt/WzlzL2LFoSIbhfZ9by4mDBWx8ZinN/sxaTu5OQ8dMmFvexrGCZlFsRxtAlICLA1a1VzLF\nnGLyb5p4PSMIJOEfI38wJ/ElPraHtG7gEZpTfikXhwyVQtT0jfD8jv33UtOU+Vy6ifyj9a5I9Ag4\nHJoS0wHOmSjUMqAYVkrBPLkf6Z6kCHkRwCaL6QhpjLf7cNirRJ2dhucbRThmarnAOl29NRg9ehD7\ndSUUMUwzQNUbFvI1AFsMQ2mYhsagF8P2zEiMqRjEkXw5Yt0EK6th5IQpQ6UTsb4/BDVEiQUQUS7H\nkYRVWQ42CWZOw69wYOYY+ZGEWA+gLcDpE/jEKyeZDfAlGQcmo1jiW0IhhU3QeQPaQhFOKlQaqH6T\n0Hu6CaNAgt8SQMdl4HYn4HQbCByGlSL4ZQraAOxBRr4OsqEEMpXbc7IDVbDxl63TUTFLYdRfXFS9\n0QcvXgvyDQza5UiYYk14dLoJ5TuIESGxL4v86AQSO3qlovdD6CQYojOyK5pAUWUe4e0wDDkBKSUS\nCgUX5KghDnyg5W88T5K6YcjpIEzyw5pWJTQzIjlZRDpEyBXklGW9g2Ee8DBtlfqH1nChlovJfFep\n5ksY2zP/81be/MlbKYrtaHlJ0ZK/+q+X8KjyOnT11uBTG67iX87+FikShs3J17bz6w8KdFIxOgXH\n8vFy03K67cQnQk/XHxNOLXl+zfIl0luJhnEaR4pUQueRb1PnwftFpKtvAJ2HH6BSKOeDH1rBAw0O\nNn1XGDMnzmtnJyefh1mL2nnXKnl9u6+fRw33reX676wuyh1ETej6R1ZxxSYbG1ubiZVQOXeHgmOT\n21r5uOVtbISPGJTrItXSShEm3dPKZBA2tjfTcXe2ccP9MkClbKDnZAcn//omHthThYqdCm/c1UyN\nJyzlsjMltusfWsOJLhOb72ymo9MNPP/TpfShDyznRMHH+r/eKrozijCn8rIiXh5h5p19DxcniaMk\n37H3bmHGHLMxdLx9FzWNu5ab6puHIJzwpLku+xiVSiFHt9elHqVjWTVzKi9jMk1p8BrG/yiu3xWJ\nXjsGMiMNBDYjqAhgd8uQUazLRvz0XniBAZU24Nkm7KQL3SPwy4F0JVJ1cuRMGC68wIBXqZHzLGQC\nG+fW7cDv9XSMjKWxL1aFnmwSWhOsNCNfS6C4j/JYAZmCjYxnQzPhaD6OhOnCHgyHshxpErOhpKJX\nSrBiFkE1dl3AEM43MjkwS6Xv15UhsBUKlQTfERNsbTDcCoKVAmJHGbnRCn4ciO834JfJ44FJ/hks\nx0vF0ExQToDB4z1UvmEVYZ7yvR56zwJorIvgQAxOr0J+X1Iqex1ilxYADeiEhuHJH5ppBa86gN1t\nIF/L4JyN2BGF1HtzGL1BQycd1L10FMYpVQjiBvxT0jDeTsI9Pot0XwJmzoSyZNMV31wDwBBEUkzE\nRNIgPaZ5WhSDU0oCPjR1iRI6lAploNXQ90qX+lvEkWwLnAvF0kLevmQD828mFv8vl3YMnDy3nSMt\n8QhumH5rO0exvekTt1HDYyu469IbaMraNt78SVHaTAUxzD9+Hd208d942Ym/ou1LW+iMzht4Zo2N\n9efdRef/YR7/cva36IzOG1izcOhfv3focaKKXyiZa+loPo5PbbiK3374OKiA0XMyYeTLjKpXjoBc\nDx0l8r7HqjV2bl5BUfK/4P138FN/vpHOvKSV/QYHKhAzbDNHsHyBQKbf3s4YQkUwubWNYRO6viaW\ngFCMrq8uosk/uZOVQ9jYKi5Kb3yrhSLfVgCgsXkEB2LY1SKngj3XS5I/7s42jmI70vbfvrSFpq4S\n3Z3S5z7jpnZ+4y65LpFY2BlfbuUty4Y24C23y6RwVTKMbWBYbEcJN0rEEQUSEPaMqq4S1k00GBUm\n9cYx1zDZ9jD4pnHE13ldyTTsutSjNKf8UnHzCmM72lzmVF7GZFvo7H6Q/h6VMppn+NvIG77eHYne\nJPhJObZRXqHmTUZ6gkLh1AyOHqjE2IYepMuSQM5EZV0K3WUxEIByp4A8W6g0ssWhKXY0vEC49CfE\n96J8TB6/PXwCDKXhuhZyaQdmFUE7DC4YGMjFwCym4mnXQaAVDmYq4KQ08pViZqKjq6QZ0DLpWRyr\nV0Y4cq+Et00K8Fy4VTa8BMHKMqrXb0fPR6fByBO0jdCej4qJ2MgA+WQI31BY0RshdTJ8Cy3HR2Cw\nJFlfpoW1pWD2GvA9BTMg+EkG2wytBOI3syVaOgDcMoKdEuaPXxb+vgGMrUrjSHlSGrj7exCMqYNf\nHUfV1gy8ZBmyXhmCaTnwkRgKHxxEd3kFxv9+EMo1gcM9IaVSF5uvQgkIaY5EUp1HiT5y5gKK2D5F\nSpWmCMYVITFgKElHA1PHfI/CqmbYe8IMcADW4QbzP6Ch/b9eTz+5mGYtEsy44b61RUilVEcekOr2\n9I4lvHP+chKNm9vp6hl/pO9sPYeXnfgsnfzrm7j/UDm6vraCAOBXO0/mfxszAhf98Xp+sfEuOuU3\nN3LDYyu4/JUYNrbLfT930So6/le38sRq2YRfmBOqHM4eetwzvtTKnVtX0bGsECCUMGZdTPrRV7fK\nxhlfauUXfyhV9+mXtfH2pZJcT7mmjU+7oo1pLGHL7c10woJ2zkzQIBD2XDuP6r+zmmFJbItM85D0\ng5ljnH5ZG1u+sG+e/a8FtPPzSykSgGObMemeVlYuYefSFpqypo13Xz+PGr61lqs2KngVBDuc0J50\nVyuzIRj/lmVyPZrGzuVgTB3W//VWivTwS1cU22+taKYPnXsn/75EShgQGuSxlfZF8Ut4fe6HAtuU\nYPYdXe1FvnzTxOu5afI8hucXT0wRtRLAsNj+e8k8YtyUGsA0jvg6Uyz2L8f2u6IZm68xETjiYMQm\nI3HYQ6Y+gPNKEjOn78Oh7kqQE8DqN1AdyyE5OgMGUG7lsTE1HikdQwBC0nFhlPnoO1CJ3nwSz6am\n4z3x3fji2BdQG88i0ArJjXIC8BMMWBplsQJs00egFWpiWYwv74frm4gfLoBNobSxQeADh6G7e0Rn\nxRlif5ChJLkzgywLQU8Pej92PPyECr1NNSgWg1Fg2INSrFMgFnAIb3tJwMxI1Y+o8GVIog8IHAj7\nRmsSqMcU+MaPE+x+gpky4FcGYAMwUwoqT2AC/BhD+ZF+kFiZ1W705NDgaLAjeGfPYBJ+QodWjUdA\nXgAj58Ert1G9tYCytxnWtji42kWuN45MvY9tX07C3tsLios2P5QaGpwKb0fNWLLt4WJjPNTEJsce\nmpYtZd5EWjglkFmxuRttGoHo6ohWTiSZEP6t5xeZPn/TBP4/XGde3MoRdZDNf/w8Ijpg9FtfffGr\n/LXpzxIAJB1XquFQzvfZ1HRcN/MpWn+eiF699tE7KLlRkvyku1u5/vsrGUAxtj/+7Fz+tz9fPewJ\nTFnTxi8+JglPd/cMey5NE67jKLaLei4A3vuVNn7mNwsp3jt0SjIKjJOuk82sNLYBie3d35xHKkCR\nA9916SLqunwhIRjKaZP+YzmXxvaz/7WAZi5zR0oiAAAgAElEQVSV+/QrA0xd1cZ7rp5PUWxPWd3G\nyhdo59jYBgQqivjzkdBax4H7iLwAF51xG59/wcritZh+Wzs3PLaCc71xvLWimRruW8v23t6/oUQy\ns1TaJVIEZNuStJVC5LkLCC4fzYt0vH0XdexqpUgbJ4rtYsM19SitG3iEivePELvH0OYSQUWNNVfI\nYFX3g9Sx9276/xVG78cJfhnDq/NQsclG7wkm2PSQnsIoBCZ02oJZ6cIv0xgRT8PVBg4erYBtBOgu\nlMGqCKBZIWm5YAacwyb0VIIixnZ3NGbYB8Uk3AhgHmGkxxO42gM8hQq7AG0LBcs2fPhaIZ1zUM1i\n7K1CRIISCXA+L7Z5IXTD4ag+dACOOYCh0P3Rs1C524OfHN5gIQasNMOtIvhxaYbFjzBSkwAjRzDT\n0jzVFkE7Chxx0QKC9hUMU0PnDRSqGVZKNgzFQNWOAIfPIhhpYQiRL8bhGkAw2oXR5YAMSL8jDQxM\nssTLNm2AHTHWLvTGkRiXRiFvY9sj78GMb26DmjAGTs6DOyKJyt0F+MkYtOXAHeUDpga0gR2rq9Hw\nuTdg1NWGMgZD9DMG/n61EU0YHruiat4yQ8hHD8fiSyQQihuCZcmwlmHIZKxlDfVQws2H4w7oHaRX\n+nH5HNY/soorttvF79c/tIYnTz2Epz8o9LiGB9by2e/Ziv2ZSrz5ccHLuwtluHfLB/naGX+gaFDK\nOSwf2dZTfkaPbJvNl03bQBf98Xpef95dlDgieWn3dfMEHoFsAKXPZ/rjt/OEdoX+4xLY+b0SiMOy\nRHu++0Eq0gQjrZaZN3DnZjlJvPT9Fpr9mbW84XcL6dyPreZnfr2QSg08/DjhzTXNdOpVUoVvvbWZ\nZi5t5x13DodT6h9aw11XLqT6769kK+ZD5y1sbJUN8cyLW/nsf1/Lm38mpx8jrRDBMcoXdurOhS00\nbVk77wo9U0+6rp2f+e1CmnbH35plR6eo+u+v5K43llHjCUv56RdFO+iDH1zBsRMktiO3rz1z5xPm\nApGUcWPtlcyFQjExz6m8jP+7Sjo69XS8fZdU8vXNjFDhtqOrnf4hzKK1wDhlX2FYlnDpSz4r0VRs\n04TruKm+maPY/legm3dFRZ+eEGLKGRPlewOkJmkkd1k4bdYu9GUSUHmFwJOn6iiZZC30xzDoSnVu\nhEmRiGE7PowcodrJ4ql907AjPwov5SbDVBqGYnjJIWXM6VMOYKAQgw7LADcwUetkke+JI4ibUH6I\nk7PQmcQu0JOhnEgl0RQMuP+UOgzMqsboX2wT9cnQFalQYcAfX4vAIlg5lj5EHEUZAjMtiZm0jHNT\nQCCXQLEAUCxfw9cOX6EwUqiRxIA2SFCerDRjvSoNbYXicD5gHpLEQhqwjpoYOMnDyFfSYsSdI7AT\nIDZtAHavgYpEHsqQx9q94AQg0AiSNsy0i8BRqHmrAHuQYPaZMGIB2GR4R+J4++cnylRrpCgZ6ttE\nibb4gYholMxSaYeaNsVp2oKLyEWKjSHYBwgx/yAQPD+qzg1Dfu44oLIkKB5DZFRCtg2uKoeuLgPb\n1j+kZ/5vr/QEEv73ZYsoSmQAcNqsXcUkH60otusfliT9m3PuJQMad2++gCMvYSNH+Mxz3+BTf7uU\nd+RH4e7NF3BU1b/0qOjVACIBcEbnDXz+H+bxhU9LZXr5S5dyaWwfd2cbv/crbdw07lom00Rn94PU\nWHMFlwpyAUD/KXXF53juR1ZzRBeOPFIBseEDgCDE5Z1++Z1pd7Tx5jub6bjlbTxlbRtPuquVGx5b\nUaRGdn1lMe343I3Uddkiqn9oDZ9yTRu/8KN59NzPhhg90aAYAGxf0kJq+MA0AOCNu5vpwrOXsbZQ\nnEUAUKSQTv3ZMoanMO2ONo5w+ovOuI0DR+H1e5rJ/v/a+9Iwq8or3Xd9ezhjDVAIiEoBIqJCcDba\nRlujUpVOpxM7HfWmjWnbKbYaTzEjIKLMVJXaZjCdNm1irkm3bWe6odBEOzEOMc6KAjIVKoMFFDWc\nYZ+997fuj7W/XQdNJ/lxc+Xh2e8foOqcwxnWWd/a73rXu/rl/5jw8DI2+vzH9X/ID01sRyDbFqml\n1kK1RLHdOuYmNktcAMSxvXZrO63t7qSWSbO5ZdLsgw6i+PDIXhlTP+sGHySKFrNTfsi/yFxVrX3n\nHtLD8ujasOIPHxw1OCQSPRiwqjLsVGlU0LkQlZEau4r1YkCW0lA9LjgXoBw6kpgDQsl3YVMIn22k\nlA/XCuE4AVIHGH1eBsVyCk/3TMAObzjG5nqx/60mBBmCn2OkclXsGRAZ5sT6HozJ9WFHXyP2eVlY\nJZFwesMUiAHbY3BetsyQbcPs1gQA/5gRGDz/eGR6fDQ+9x7IthFmIqvhUBI4WwrZngCk5XUyyeWu\n8fTx61mGnVy5grA8iodoOCRQKhRb5ZwPygZQgTSIY1C0X9cjmSMgSe7Ko/j3YZpBbojSmAzSPQS3\nl6D6bZRLKTiDhL5iRiScmQBOP2HfmUfA6itDOxbsYgC/3kLTeh/pfYTU+gxUzgenNbzdWWy453hQ\nQ328Tzfm5c3T+2CiZW1+MUTb1ICiQ5RDDUqn4iGr2E8nDGOrhNgmwUzklsvgvn5ZPFLxRS31e5q3\n/7+w8fYCbZ7bRhM62vnU64YS0K5iPWonVE1sP3lhO9Vuk6qNbUAS6CPnfJNe/qultOxjj9IObzhu\nePFKntDRzlNmdvKGO+QwmfbThfx8y3IysX3yzxbwPi+L7utn0ZOPz6Xa2K69/K/lgS/6C5nUfe7h\nGTGHb2IbAMziEgB47n9LVW+oE1bi27NpQdQond9GW2a2keURtl85j8xhVovu62aR8ZCvfWxTaR+3\ntIMnruzgaKUzNi2U1zr+XrltbWzX3nfyo3dwGFjovmY2Of2EM66Sz0E7Fn61dg6de+lqblrv46S5\nnWxiGxDPneZ/W8ldPfdT7fvCQRBTLGaCFRBqCKzRMvwabh17K6/deZ9U4EfdHFNfFOqD+HlD0awr\nfY9ANPQ7y0JL03UHDVrV+t6ve+XOg9YV/jEcEole+YBfp9G4kVA6klC/3kHztJ1I2wEGd+fh9lpy\nqnvivFf2HVhFC5oJttIYCNPwWbzkAeEJi76LwLfRvasJr/Qejdf2jYF7QMkgkAKCwEKp4iJt+dhV\nbsCAn0J92kMldNCwieDnLLCSaqKaI1SPbhRflsiVEWGI0hkTMNicQX59D9z3i+CKB3/8aNglDW0B\nQc5Cep8Pu2cAqqrBJCv9QIBTBCpNYuCmsyH8nEghpcIHyFNDPD0TdNmGZWtw2YJdYmhLqnowcOSz\nAfw6hlWRBqvyo15ANGVLWt6TI0cdACtgxBtVhCkgtU/0+k4/wK/VQ1csoCeFprd89J4AYH8f7PXb\nAIuQ7qkidBWOeCW678YMnHwV7GpQycKb845A9YxJsQslRVOwFJmQ1ZqSAYi59HigKaqKKNQxH/+h\nYShAfmceI3LD5GpVbu+60hx3HblCsEWTz9ZHH+aNGwkvfUsS1gVPzGAT2zE8Cz84W2R5E9olEX3+\nmRvYxPbPPiHJ+JWvtdE5j83hCQ8v43EPLedXeo/GN0/7Hm1tm0FsiQXyhB8s5VJFrub+5fTv0oNn\nPkD1aQ/GOweQRLxpQRtVc9FVk+eJeVcNBpulPJ/+sYXMFQ8X/cVd/PQjM+npR2bSuZ9bzc89PINa\nJsvawjgxR/+DiW2T0Cff3skn3NYZK2K6r5n9e5O9wXMPz6Bz/m5N7FsDAEGOsXlOGzEJrw5I9b7t\nlhl09mNzmBXwxhrR8U9eKL+fdlMnb7j0djJ+OetXFaj3BGk0/+LpBfTJC5bxbx6dRb/+6Wxav0Lu\nu+2L82niD+9idvXv3WNrZJZkWVJ1R8tHjI4emuOkbBaKrN1xt/gKRbE9PXslT6/7cqy+iS0QLAst\nw68RiWZUBBlpZu1zaJlyG39Qk/+H8NF/AxBVslWC28/whmtUG2QJyN7BHOx+C9WRAewiwaqvohS4\nKFWlmh6opNBflS+Cp+VnaSeAdggZx0cqXYW1O4V9xSze2z5C+D0bCBrkEjmd8rGrWA/NhK29Tci7\nHkq+i/xOmeLUDmKaJEgLdQPbhp40FsXTxoItwrBn3wMGivF6tWrjEA/rZxXcfRXhiEkeS1UZYZqj\nQ4SR3c2we23RUFtRda9NEhdHSwAgN4z19dV6guXL565CRmmEjbAxQOoAQVXlYFABSRWvSa6YKoRd\nm49A7yQL6e29CNOM1AGANUE7gNsPuHsc5N9RGDjaxpHPhtiweIJU6krkkKleH0FWYey6IoI8w3or\nB7ganAtAFYWtXyS8e/1UqeYzkUtU7WWvGXyybZk3cB1Jzqaqjxqn7NixzYGRnJFty/0MZeO4oHQ0\nmaNZ7A4QDUwFQazHR7Rn9qOCSUgv3T/EUT95YTvtHcwdtPfUqq/iU7++haf8ZFH8ha6N7c8/cwOf\nvnY+T7u5k5+5ZCXVxjYgVr8mtrdefhulUz7OWjc3fqy86+G8X8gqvLMvW8Ov3S1DRS/+axud91er\neN3gg9TVcz9dcuYdH6rSTWz/4ukF8fM1swFdG1bQBRevYDOMFKajgrQmto9b1sEb7iiQXy+/MxW4\nie0P4swvtfPZl7ezChm//unsuN+w7dYZNOnOTn77tjYy/8/bEUf/7CUr6Zl/n0ktk+fyhjsLlDog\nj/XqfQWa2iafwdQZ8qeJ7dbmArMifPL8ZXzhhTKJO3ZdUfz0L1tA3ddKDwFAvCJxesPV3HLkP8VO\nky1HXH/QVq6u979JSKViA7jW5kJczbdOmMFrt7YTlMK60vco5uMRfScgh0jX/m9Ta3Mhdrg0V1yt\nY27iluHXcOtRN3PXG0up6wOqoD+EQyLRkwbsQcLAWAVngFAZV8VAJYXBwXRERTBKxwRgTQi0QhiK\n7JGIha/XNiragSJGECpQyPACG1orBMMC2JYGBQRtyaECJjTUlVHxHGnGMqFSdVD0XQx4LjK7ZNmB\n8gFVBfwswc8LVVA8cxzKR2aRe+U95H6zEdwX7WxkBmXT0CmC8jXCSDuv3n0/nsxkIqT6RdLoDRdl\nQsPWKpwB4der9dF+WZYKXFWU0NrGz0YxrDoffcfJbl1WiEe5yVOwKnJfv06DAjk8w7Tw/kwAuxre\nlBJ0fQaWR8j2aKQ2ZoTmCQC3l2CVGftPCaEdwpgngbdvPAZWOYB2FYgZ7oEAA+MyGPNUAJ1iWHtd\nKEcD9T4QEIpjQ+y4eaq8L1GyP2gTTuwtTwcrYqxoE1WoxefesoaGo4y+uKY5S64DzmdA2fTQvzMp\n8LB6UGMD9Kjh4Ex06H6E8kpjm2sklgaDg+mDbrf18tvo5+fdS2GoYl34Y395N/2+2D738dn81ucW\n05aZbWRbGuO+vobfXFYg7QJmGKniOfjt9BXU8quv8uRH72AT27WJfOPtoh03BmYAUD5yaBF2y/Br\n5LbM6NrzdTr30tXxfc++vJ1bRt3IcRUL2aa1aUEbTZ3RySDg5W+2kYltI3ecuFIq8PH3tvP2L82l\n5geG7A4mPLyMx9/dzs9/dwaZ2D796g42w2UTV3bwpoUFmrxw6Mpg0p2dPHHFECWm6+UqxMwTALJN\n66TZnWxFg1zaIWz/ykx6+8Zj8MQv55F2FZ54Yh5deOFyHhiXwebZQ4eyciR2uv9BKvt1fQ9I/yKK\nbWNZbCpu2QpFBxUXcXVvfGks6yCK5oNe9ADAeXkdhvPnTAprd95HXfu/TXrUcEw/9XY2V1N/Cg6J\nRM8KyO1ieMMYqV6CckLh5vsd2GWCu9sBHEYq7cNWWiZkbUbZc+FrSxaMgFAKXARaBnkqgS2GYNF3\nnF0NYsBrCkHZAAf6s3CcEESMtOUj7frYX8yiUnVkRywig7ASosqeUD5rIlRVI/fcNvFUNyv0SmWx\nJM5lQAHg18mi7+wuT1br1XDEoSMJulonCoUwLQZkdUf3wy6Jtt4uSRXOikUQrwnsKwS+DcsOodMa\ndjnS95McCsc9VEaQiVwoN4iCx/KkUWsWjJOv4GzMIsi7yPQwiqMVUr3RoeIz7Io8nlUU2ihIExo3\nAu9clIdVChA6kmjS+0OUh9toek28hax30rAcLdW9wygfFWLDPVMRvt8jdsGuI2oaY1AWTa6ybcUy\nzFiN49jgUkkshuM3LbqN44iih1loNM3RAJszdAgEIcJhdQjqUmBHLm3N5qCPAsff0cmnXdPB3jCO\nK8qTfnw76/6h5l7zv67iyY/ewZ/69S3xsJTB/xTbgFgdv9C6jDiqjL2mEOMeWs7GFfKS/76Vu86/\nh2pj+7FIbTJlpjwXM8h1/qdW8fmtK/mpHw9dZRhe2iysppom6LM/mEHxIuwIv4109a+3F+il+9vo\nE59ZzSBZE2hie/Mc6VewkhzVffUcYl+Wn2+9Yj7ptLwWbctVA9UIr6wK4ZQbOpht4IQFnXz84k7e\ntFB6IOO+sYaPv6OTg7wc7h+7tZOn3dLJ026S17l+VYFe+XobTehs56cfmUlnfqmdGzfK4z75uLh8\nmtg2HP6xqzp42/+aT8f+YKlU9dEGsOZ/WcUfsgyO+ha1sd161M2/V51zkFY+DON/m4O1ZeQNDM1o\nPXYmm6vhrg0r4vvUxvafikMi0VcbNFL9GkGO4WeBVMZHsS8Dq2iBAiD3LgDFqM+KFas5LKsVW1wq\n/SwGwjSqoQXPE/tdP7DAke98EB0Mfh1D+QRlMYKKjWrVwvuDeewcbEBDpoLRdQMo9WXg17vRNGyk\nbnGlSZx+dwDZV9+J9pWS6OcR+YOEGqVxDQiyCn5GvpDujr2iM9cadtGXCpwA9wCBbeHOi6MsWBV5\nvtUjfWmcphhhXSgN1pIF2Aw7G0D7Cq4bCB0DGTQDAMtnlMZkZFVhEag0EaoN0dWBFr8RFQIqUi8o\nX2PYJg+VEYzsnuibxNIgBoDMLoVyk4IK5Gd2GXjvL3OwfA22CO4BD9meANoGRr2gZSjr3QzcrC+2\nDekQFChsuv90BLv3iB8NAC6WhD+3lCRt0yg1H6gWfp4rXmyHwDXDWAhDOThsW66g/ADBEfUIRw6T\nL1jZA5SC8nzY/RVQOUrwH6GxmYntzXPbyM+KdW+xL4PuG4Z04t3/OJvMqkBA9Objv7+Mz35sDn8w\ntl/5Whv5gXWQpXH3NbNp4soOVj5h+9/Po6AiB8H7g3mc2TWPX/n0XfT6Z5ZQqU8Oz2d/OJPeWFOg\nj906xGP/6uezKfvqO/HzNpVkLW8fZBXO+mI7n/mldjba+tZjvsomUZ5+tSRII3F86iezyKrIa357\nfhuBRAWztW0G1XrxdF89h7ZeIRx69w2z6KwvSlV/7qWr+XcPRo3YZR1sF+UqwcR27dDZ9q/MpI23\nF0j5klgPim0Ap14vzymzS+HU60SD/8IDbTRllvQOAMSx/bsH2+jMK9t5S1TZb7n8NjruP+5kOBrN\n31kZWzis3XkfTa/7MrcccT1zUViAtd2dBMdB16ZVws3XHIStx84Uu+GRN7CJ+Vh1k79qaCCqJrbX\nvnMPGerH4Je/mk+P/XZRTOf8T7FXi0NCR5/eq1BpkCRVHa7hAmBPwS7L4uP6bgYCabxm7SpsO4QX\nEHRJVgV62kagFSqBg8C3EOQInudARxVQ9ZkmYGwA7TDCvFj7urkqHEcCIdQKg15K5Jk7HQSZEKwI\n1UaG2ydXBdoFaNf7gOOIh0smI8konQZ0CL2/F+URx0SySiD7fiCUTaT/tnpLAOVAoTRig6xU7V4T\nIbWfUXq1HnSsF1XyQG6rA7aAyggNlCwEVQUohufZUGWF/vGEzB4GkzxOcZRCdjchSAOVURpH/1Kj\nZ5qK+Xl2pEoKM4wDEzMY8VwPqsObMHCMNHdBEQukgUwPo28iUL+NYJcZ2d0avScQ9k9OY9hGD37e\ngfI13EFCcZSF0c9o7LyAQVtyyJ/Qh+obDaK3Z+CdR6Zg7OUbRALpOOCBwfhzp3wO3JAXEzeLQMWK\nbPIKQ5lXyOdk5WA0QKUa6qFHDgPt2B03c62BCjjlSOPVq8bVPxGBBkvC93+EHL2JbUBie+ult1Pz\nv6ziSXd18KalMu5vKuGfn3eveMUH9XFsf+fM71Dh5cvYxDYAlD0Hmy8TvvzE+Z385rICGSpj3PeW\ns5sLcOKPFrNrA8+3LKfTfn4bEzG6vywDWWdc1cEHJgNuWt6XV+8rkNHQAyLjizchRT8DZB9C7URp\n69hbuTaRmerbKG0AINXLeMkcYlFsnzivk01sb7t1htgNK4ZT70G/k8PW78+gU6/t4EzN5/b2/DY6\nabYk5KOf1Hjqx/I8Ji/sZHaAIMMgBhonZtBywjyu3tyEZ384dJiYHkmmh/FCND9w1hfb+Y3vHzwh\n+/gz4o/vDsqBcc7freGdFwB2fw7dc9vouKUd3PztVQwGMk1lbBj4NzJrAs2wFCB8PGfTseUCMOQn\nZJatGxuF6fmrWDXUY/opi3jdy0uoq+d+ah3fxo8/t4imn3o7q6jp2jJpNndtWkUtUxdw1+t3EbSG\nUfb8MRwSFX3dDo2BcUB6LyHMhxLQoUx9hmlGuUkq8tG5flRCB54n55PdZ4OZUAochFAo+Y4kz0ZA\nh8Jvq2wA9wDDKkeKGwCkGDpU8H0Lnm+j4ttwbWnQNmyW24QpiMlYZAvsDPLBjT1L1t2RJd43NGYU\nQkd4eNJA5u2eg7nhcGhdol3keP9rkAYat3iwPCC1LQXtMpxBQpCVxpbyh+gnaIJfdBEO9+HXMbQr\nMkvb03AHGCNeKQEKSO9RyLwrDVPjqAAtlFCYZvh1FPHhJJOzHFnsWNKXCNOylSpIE7QjvYSm1xl9\n51XQNz4FK6qa3P4AufdDVIYrjHxO7I9L2+vBE0syA5AJUdmZw+YHp6J8SjM4m5bl4Y4jVXkQgopl\nqIEi1P4BUKhFR3/SscDEcUDTsOgDo4iTz4pxXBhKpR+EoEoVam+fHKqWJcvLSxXgvd1yBZFyUTnx\nqD9n+P5BmNgGxMBs4g/v4u5rZ5N7QOKo3KTiRt+nn7qZa2P7t9NX0Gd/cyPXxjYgsW3w5rICTehs\njymF7VfOIx0qvPnZxfTKp++ik358O7/4qaVkpm7P/dxqDlPSxFy/okBm61VXz/1kLG8Np0yWOsgG\n9/nvzqCzvtgec9Frd9xNrc2FWBtu9PWmAX384k5u3OLhpLmdfPwdnbx5bhttnttGQRZ4664CKZ8w\n7r41Yml8zWza/IWFtHWG+NVo92B3zE+et5TXr5Lhq6d+PIsmrurgExZ0sontLbPaaPPsNjKxvf3G\nmfEVCyDWDADiJA8AZtDr41e084SHl/ETT4jJ2gUXr+Df/NcsOvfS1fzMf8wkE9uA+OlAMbqvHboK\nK5/SjJbJc2V5+PvflIZsEKLrjaXUOr6NW5sL3HrszCEN/cRx8ec3ve7LvG7wQeJ8FuteXkKxXDNa\n2K729mHt1nZqHXsrxxTke7JsqWvTKrrg4qEJ3z+EQyLRO0VJSNoBUsMqCHwrXqShPPHBQUioaht5\n24Nta8DieGq1Emnrg1BBBwphmhF4wmc7boBqo/DiOi33I4tBSou1Lou1wLB0GUXPRePGEvysQpgS\nbpsCxBQI1eXlsiqdkiQTmWfpIxqx/6yRsHx5DfVbijKxWQMqe1I1K3kuFMphYj4BbQHa5tibRrsc\ne8JT7epDXyG9w4U/WiYljRZfBYCzv4TQkb+XmnNI90gTFizj90FWFD3yb7ljmIoGryIJpgqAynCC\n3eOAmBE6cpiEKULu+Qx6Ly6jvzkNu+iDAkZqn4/UAY3QJYx6WoFGeqAtWZFeVixwWiMccLD9Mo3i\n8U1CwRgVjnGrNGobSwEDRfDLG8AbtwJ790ONGA6MPwbhpLGoNA9D0JSDd8ZxKJ87Gd6k0fCPbIQe\nXofg6CYERzeB0y6QckH5vHxefoDUjt7/5zH7p+L5784gYqliJz2yhE0l/saaAk1c0cGv3VOIrQDy\ntofNX1hI22+eQVtmioHZj879Ot17ysNkYhsANl+2gCb+u2yuOnF+JxsHzO5rZ9OEHyxlUhqTHlnC\nkx+9g9f/zR1kFpIAiGPbgGuo3ljdETVY1+6870Mj9vVbimg95quxPe7a7k6ickTNRTy1aUAbamX9\nCrEOBoRb37SwQMct72AT283fku1TZlDJxHYtnP0lTF7YyW8tLdC5l67mdA/hrbsKBP6Ab1AU2+P+\nuZ1fu1uazafc0MHmasPQNCf/Uwefeq348oQpwtYr5tOEiIt/8vG59Mnzl3Fqn4+zL1vDz393Bo16\nWt7745bJ8Bsg0tHmb63m2thuHd/GrWNuYoShbH8iwtruTjKxfbF9Oa977U5qOeJ6acCOPwYAUGke\nhovOvYu9M47DeX+1ir1Jo7F2yxrSw+tw8Tl3cnB0E4ym3lA8LZPnxrTZH8MhQd0cOM6CMygVrteb\nhipaohRRQG4nwWsEEBLSlo9+P1JZRPLBgXIKGceHQyFSTgAiIBgWgPocWLkqrBfrUG2UClruCFiW\nhg4VKBpCce0Qg9UUHCuECizYFZE/aofBrgw5uQNaxunLnniuFIuyKV4R+ic3QtsiUwQA+50eadR6\nHog5ttK1PI495SmUL5ldAkojXdglwK8H2GEEGaFStPRpQUFkbRApACpHSldMO9H/WZJGUu+04ZKw\nNbB3io26bkbvSdITsIvyf1ZGh6g2KJAXwPIkwXvDgMzeqJpPASoEcu8RrAojyFE00MawPEbd01n0\nnKbBKofGt8vw8zZSveK/X60nDH88jf5PDQKb8qifcgD9O+tATEDRxjt/G6CheRzG/HjHhwelHDvW\nx6tINqkHi7DyOaiBIshzYA16QNWH3dsnV1eZdCyxpJIXHxqcdhGOqJM9BzyUgD4qmCs0rzeN8Xe3\nM4WEzPuEXJkweVEndy8RztfE9vh723nbLTPo+ZblQxSIE6D7qqEv9eYvCMVQbZT1hCbZm9je9IUh\ns7DBqrxHl5y1hO2js2AlPLqhWM6+bI9tqskAAA7ESURBVA03vPw+zP5YLhbxQRsEw3GPimLboLW5\nENM3v3uwjU69roNf+lYbTV7UyVYVqBvpYmqhk43RmlmeYmSRvw/dV82lj718sEqpd9pwbLhTTNKC\nKTY2LCnQxFUdvHlpG504r5PDNFAZHSDbYMexPWVWJwfDgA13tsWvQQ2L+loVIMgRXr23QOa1bb38\nNhr3z+084mXCC7+aT+e3ruRnfziTPn5FOz//8Aw6/eoOpk8J9Tj1J4sYgcT29qvmEq4Cpt3Sya/e\nW/gQp9567EzuimgbAz1YBACogSJajp/DaccGqj5+sWmVVPWRqkf1FUElD12bVsnMgm3FdFB1TAMu\nuGgFP/mLP57sD4mKvlonA0B+XoMCBatKccWb6jVTlECd7WF4qigGX66Wfa6hQjW0EEIh1Apka6iM\nfNBp14fbxwiyUcNQMZQbRpPy8lkoxfBDC15oiaoBiN0qgwygApmkJR1JnlKuVKSkwL4PPeYIhI4k\nVyYgvzMAax3ZF9c4NkYr98CAXYmuRghQnrhK5vZopPYTrEErNlMjbXjz6HM0JlCKQQM2imPE0x4U\nySqzBGdQgpgVUL+tfJBfj10CsjtseMMYwfAcnP6ImI+kbCryulfRlcngWILyI9/8rFA42hZDtL2n\nMPZPzoBCBluEdG8ApyhWyw0/yyM/bR9KGxvFgC4VlVNFG4PnlPDe58bKoBTz0FIQImnOapaDNLI2\n5ooHs89Up5whmaVlASOGyR7fdCqasrXArgMqlkG+RpC1oG2CXfromrHHLe3g9SsKtHFRgbqvnU0m\nttevLFCqV2PDkkK8Em94qohJjyxh7WqYfalnPzaHb3n5Co6dJyFDUebvm2e30dbCjNjs7O2/W0hb\nLr+Njv/PJfFtvFDi8LHfLiJti11AkBGKxc8xnv3hTOJ8Bq0TRWdfG9sGL93fRi/d30asdVxZto65\nKZ7cPPPKdv74Fe1sVxgnzRZ5pfJk8MkkeUAkkoCsBfzgazEYd5/o/E/5SgcbSaeflYd4Y7V41gMi\nfTbYeHuBuq+fRd4wRtdby8npF88dk+HO+HIHm9ieMquTB8dKkjevDQCmFjp5+80z6IUH2ujUazuY\nQnlq6V4prF54oI02fX4RnfJ/buPXP7OETGyP+/oaHveNNfzqvdLg/mBsr92yhsx7ayZhHys/RC1H\n/hOv3dZBXRtXUhzbiDxtRghtyemUJPmT5nPXhhVExTIA4Ly/XsVPPDGP/tTYPiQSvQoIfoNUsdCS\nbNw+QrVRo1pP8OsYTmMFGgSHNILAApRUv8yEaiCNqzAaDsrXVWRDFAvlwK6s24Mlt1dKiGsihlJy\nkChiDPRm4TWloR2Cnwegoso+zbCqjMqoLHRdRmgZ1wGl0yg15+IEaVeA7Ma98VISMn7qxrPFkgo8\ndAl2BbFNcbWRkHvPi1QukOQbaduJI9qoGn1XmEC+0FpBQxhV+zKgYlcYuT0afl4C2h6sIrVfXkus\nzY/cLCujUkj1AlYVsqIwTfBz0iQ2GuYgwxi97j24A9IPqNZHFMMWG9YRFZRHEQaOcWGXQmiLkNkb\nwB1kVPME65Em0NgSSgMp2NkgWgHJCPpd9J/qYcvNx8rhZw+9P0MBoUCWBUqlgLoc2JXlIeSLHTRG\njgAfNUoa0YB8qVwHYUMGYb3QaqoYKbRYrnY+KqiAMHHVUDJjJYZcgLyfx64eWolnYrv7hlm07atS\noT97yUq695SH43V4U3+yiJ1+ghmsMocELMa4h5az2UO78W8X0ZSfLOITf7SYFTGaH1zB539qFccN\nSsXYeHuBtsxuo0/8zWpe99IdtHbzapnurIntWrRMmj3kt37Uzbx2532xNcLz35tB2hGqav2qAm24\no0Cvd0oF/snzlzEQ+c6wcPeb50aKlpltNP7u9vi1jPvGkJXzy99oo988Oos+8ZnVbFcYZ1/ezifO\n62RD1ZgrkjeXF8jIRc2Ve6pXKmxjCfG7f2ujD8Y2ABjzNQCoPZBMbAOy8cr8fNpNnWw2Vr352cXU\nffUcMrENAK/dXaCuXV8TZ8kddxOI4gO0ZdSNDKUwPX8VtzRdx127vkbTTxUbjMdeXEy19txMJNOv\nZkXh+mV00bl3xd7zxmfoT43tQyLRh2lGuke80ykQva1VhSyqzsuHY9sabuRmpIhBmUD4+6qFamBB\nsxKZdqiQcuR21dca5YO3GAgUrGwAJxVAhwp1uQrqsxVYJFumHKWh+hxZBq6EvgBE6qhTGnYxhHYV\nWClJUJ6H4ChZ80YstEx2jy/DPoiSvDH2UgRUfaFiIo5c+VEzNSNWroCoGkiLMob0UHUNSMJw+qIV\neo4WHxsGQICfU2A7MjIr6fiAqIzKyt+N02/E+bsHCP1jbaHGdssLleavVJuqKoeCM0hgx0Z9dxBP\n7gY5wC4C2d9moc44gPJIwv4T0nAGA2ibkOoL4ZRkwcrI/0yDFCMYdKDyvjxfi8G+QnW0jy1fnYTw\n3Z3y3FJOTLFQZERG9Xk5UP1o6lWbYSpZAqOKZfk3EdhWID+ETlnQw+pBXhVWWYvf0Eeoo994e4HS\nPUMH2ZaZQ5SFiW0AuPaFLzEgsW0GiMZ/fxlPjRK6SS4mtt/4zBLh5a+bRc3fWs3dV8+h7X8/jzZ9\nXmR3Z3bN4zc+s4Te/OxievaSlaT6HPzq57MPOlGPXdXBzfevZrso7+8lpy3mte/cEycqczvTgDXU\nTutRN/OQtTShpfEf+bR/7GCjyDnlKx1sGrImtk+c18m1sV0LFRAmrpQDz2yPqsVTP5lFKhDtvjE0\nO791JU+7ZYjeYUvWGW6Z1SZVtUJcsZ84X273enuB3lhdIBPbgBwm5jFOWDCku3/rrgKVR4pu3xxU\n5/31KnZKH06sKu8fNOXc/MBKPm6pHCBrt6yh2theN/ggrRt8kKg+j5Ypt/G6l+6I79e1fhm1nDSf\nAWDda3cSVaro2rCCpp+yiC85YzH/4jcLaPrHFsZP4MILl7ORWf4xHBKJnjTg10ESYFy5yqlsvgi5\ndBVWRLdoraBsFv5VU+zfnbJlerbi22AbSO0jVJoQqxXqchWkUz4sW8O1Q3i+HU/XEjEyuxWCrEKQ\nkilaCglBvbhIhhkFr16BzJLro0bDr3ejKplh+Yzs23tFEWJ034YbtiyEg0WoMKqqoyavqkZ/+kCY\nkslW2ww42WJuRkHUFA6lZ0BVAiLbArvfkoMhMjgjzfDzKub+e052AS3vozdMBqxIA3ZZeHkQULep\nD1Cypi5ID6lvoMQWYdf00UjtKSG1n8EkVyDlUZLw8UwjihN8VBsIe6dmoAJGmFLIv1uFXWEMHGVh\n+JNpOHVVaF8hN7oohy4gzfUxPnbMOxN61x6ZiC2WhXPXLNLLbFqq+SjBm6ROBwbAu96XKys/AJUq\noOqQIiqsTwFKwen3kNq8B7Rr358xev84/Lqhv09c0cFTZnby1DZJRgYWMb5z5ndo82ULSEW+9Sa2\nb3zx7/mcx+aIaqR1GW1YUqCpBUlIxi9m2k8lARjKxvNtnPyzBWx+vu2WGXTOF8SX/YTbOtnEdvf1\nsyjMyBN57MWhYa2/vGQF/+ZRSV6Wz2idOItjVc57/0yx2VZNbANCkbz8jTaqbciGKYU3lxfIxPaG\nJYXYZfO45dIo1Y68ZnOFcmx0FXTGVULfGIsF0zw2sW2wfmWBzAHy2t0FAgHTT17IJ80V+alpwgJS\nuW9YUvhQgtTO0ADZSXM62cT2L381P66i8+9W437Fadd08MQf3sXaVzjxR4vjx+++eg6ZRSwA4tju\n2vP1WFWzdlsHGa69deIsNlV/1/plZAzTEO1i+FBsR3jiiXl0kFvmH8Ah0Yy1StG2I4dh7yVpgtoA\nVaPmYADkUx4UGCkriHytNDQAZTM8T1YHAgDCyOjsKB9un3ivw2LA0SiWUrBsjSPqB7FvMAsiIOX4\nsC2NjO0jt1OqDcuXKwpVBYgJrAHlhdCOLY6I+RyCupTYGHsarBRy24pD4/xAJK0UUy1ZSjL0VlPI\nIFuqOdmTKwZode+F6G+2AJb3wPZI2CxHbhMOC0AlC1ZRReocQmkUIbsn6jeEgJeV5Q12CPh1jNxO\n6TWEGUZ2JyHMyEYrqyJ8uxooyxfGhCWZ5wiAgb7JIUY+rzDyv3fjnUuPhO/K5xFkGJYiZLc7KE6t\noO7lNHonuWjY6qPaaCPbE6I4yoKfI+SeysG/qA9Vz0Zj0yAO7K4DVcVzvzyuireXnoyjnwiRe3FQ\nmrKjRkhCr1RF3WQsJGxLtPFBGPnluKKzj6SaYcaB8iIlTxDC2t0b9QI+OguEyQs7OczJ53P84k7e\nvLiNTprbyW+sKNDxizvZVKgKjBtevJLXbTwBxoDLxPbXT3soThon/2wB9+6pR3fnbDp2TQd3zxyq\n0o//zyW88W8X0Qn/tZiJLLz52aHEfcaXO/h3/z6TzvhyB1tHUHxl0Xz/au6usRtuHd/GwZHDoNIS\nr+d+bjU/81+z4kXURjMOSJNxbU2T8eNXtDPZkgCLRxI23FmgSXd28sichXO+sIZVFNtAzZStHort\ncV9bw1Z16PQ74bZOzjqAOXBO/4cOXh/JI/06xpvL5e/j723nui0Kb9xToGk3d7KfB96MVgca7f3/\nhIs/voQff06qYnM4AZJ3uq+dTeMeWs5TZ3Ty6+0FOu/TqziIYvuUr3Twy99uo2k3dbJ/UV/8Xtfu\nxDXo2rCCWsfcJMl81AiRYvqBxHMQxvr61qNuZg5kUrZ14iw2zqxd60Uaa1Y4HrR79k+MbeKPcPtO\nggQJEiT48+OQoG4SJEiQIMGfD0miT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmi\nT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5Ag\nQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLD\nHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHEmiT5AgQYLDHP8XQetaDEc8UuYA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1084b6e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mask: [[0 1 0 ... 1 1 1]\n",
      " [1 1 0 ... 1 0 1]\n",
      " [0 0 0 ... 0 0 1]\n",
      " ...\n",
      " [1 0 0 ... 0 1 1]\n",
      " [1 1 0 ... 1 1 1]\n",
      " [0 0 0 ... 0 1 0]]\n",
      "masked_array: [[121 -- 153 ... -- -- --]\n",
      " [-- -- 130 ... -- 68 --]\n",
      " [73 94 115 ... 70 69 --]\n",
      " ...\n",
      " [-- 94 107 ... 14 -- --]\n",
      " [-- -- 112 ... -- -- --]\n",
      " [85 97 111 ... 23 -- 23]]\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.misc as misc\n",
    "import numpy as np\n",
    "\n",
    "face = misc.face()[:768,:768,0]\n",
    "random_mask = np.random.randint(0, 2, face.shape)\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.title(\"Original\")\n",
    "plt.imshow(face)\n",
    "plt.axis('off')\n",
    "\n",
    "masked_array = np.ma.array(face, mask = random_mask)\n",
    "plt.subplot(122)\n",
    "plt.title('Masked')\n",
    "plt.imshow(masked_array)\n",
    "plt.axis('off')\n",
    "\n",
    "plt.show()\n",
    "print('mask:', random_mask)\n",
    "print('masked_array:', masked_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
